RRB JE · Mathematics

Time, Speed & Distance Previous Year Questions

52 Time, Speed & Distance (Mathematics) questions asked in RRB JE previous year papers, each with the correct answer and explanation. Read them free on UTpaper, or attempt the full papers as timed online tests.

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Q1RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
A man walks to a viewpoint and returns to the starting point by his car maintaining constant speed and thus takes a total time of 9 hours 15 minutes. He would have gained 2 hours by driving both ways. How long would it have taken for him to walk both ways with same walking speed?
  1. A12 hours 30 minutes
  2. B11 hours 15 minutes
  3. C11 hours 45 minutes
  4. D10 hours 15 minutes
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Correct answer: (B) 11 hours 15 minutes

Q2RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
If the distance between A and B is 530 Km. From A, Namit goes to B with speed 37 km/h and return to A with the speed 77 km/h. Find the average speed of Namit.(rounded off to two decimal place)
  1. A46.51 km/h
  2. B49.98 km/h
  3. C44.54 km/h
  4. D44.47 km/h
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Correct answer: (B) 49.98 km/h

Q3RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
Which law of refraction states that light bends due to a change in speed when passing from one medium to another?
  1. AHuygens' principle
  2. BLaw of reflection
  3. CFermat’s principle
  4. DSnell's law
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Correct answer: (D) Snell's law

Q4RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
If a 3210 m long train crosses a pole in 107 seconds, then find the time (in seconds) taken by the train to cross a 150 m long platform.
  1. A106
  2. B114
  3. C110
  4. D112
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Correct answer: (D) 112

Q5RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
The magnetic field inside a solenoid:
  1. Ais the same at all points
  2. Bis zero at the centre
  3. Cvaries with distance from the edge
  4. Dis maximum at the centre and minimum at the edge
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Correct answer: (A) is the same at all points

Q6RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
Himani travels a distance of 352 km with speed of 32 km/h and 330 km with 30 km/h by her car. Find the average speed (in km/h) of Himani.
  1. A31
  2. B39
  3. C21
  4. D26
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Correct answer: (A) 31

Q7RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
A man walks to a viewpoint and returns to the starting point by his car maintaining constant speed and thus takes a total time of 6 hours 45 minutes. He would have gained 2 hours by driving both ways. How long would it have taken for him to walk both ways with same walking speed?
  1. A8 hours 30 minutes
  2. B9 hours 15 minutes
  3. C7 hours 45 minutes
  4. D8 hours 45 minutes
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Correct answer: (D) 8 hours 45 minutes

Q8RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
Anamika travels a distance of 183 km with speed of 61 km/h and 225 km with 45 km/h by her car. Find the average speed (in km/h) of Anamika.
  1. A54
  2. B59
  3. C51
  4. D56
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Correct answer: (C) 51

Q9RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
The angle of elevation of a tower from a point which is at a distance of 44 m from its foot is 60°. Find the height of the tower. (use √3 = 1.73)
  1. A76.12 m
  2. B48 m
  3. C68 m
  4. D56.37 m
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Correct answer: (A) 76.12 m

Q10RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
If the distance between A and B is 1089 Km. From A, Vishal goes to B with speed 104 km/h and return to A with the speed 125 km/h. Find the average speed of Vishal. (rounded off to two decimal place)
  1. A111.79 km/h
  2. B113.54 km/h
  3. C117.44 km/h
  4. D120.89 km/h
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Correct answer: (B) 113.54 km/h

Q11RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
How can you experimentally determine the focal length of a concave mirror?
  1. AMeasure the angle of reflection.
  2. BMeasure the diameter of the mirror.
  3. CMeasure the distance between the mirror and the image of a distant object formed by it.
  4. DMeasure the distance between the pole and the centre of curvature.
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Correct answer: (C) Measure the distance between the mirror and the image of a distant object formed by it.

Q12RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
If the distance between A and B is 1253 Km. From A, Chaman goes to B with speed 93 km/h and return to A with the speed 95 km/h. Find the average speed of Chaman. (rounded off to two decimal place)
  1. A93.99 km/h
  2. B90.46 km/h
  3. C103.98 km/h
  4. D94.47 km/h
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Correct answer: (A) 93.99 km/h

Q13RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
Shalini travels a distance of 270 km with speed of 54 km/h and 300 km with 30 km/h by her car. Find the average speed (in km/h) of Shalini.
  1. A47
  2. B38
  3. C43
  4. D44
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Correct answer: (B) 38

Q14RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
Which of the following statements is true regarding the refractive index?
  1. ARefractive index of glass is less than 1.
  2. BRefractive index of water is always greater than 1.
  3. CRefractive index depends only on the speed of light in vacuum.
  4. DRefractive index of a given medium is independent of the wavelength of the light.
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Correct answer: (B) Refractive index of water is always greater than 1.

Q15RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
If the refractive index of water is 1.33, then the speed of light in water is approximately ___________.
  1. A2.26×10⁸ m/s
  2. B1.5×10⁸ m/s
  3. C4×10⁸ m/s
  4. D3×10⁸ m/s
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Correct answer: (A) 2.26×10⁸ m/s

Q16RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
Why are danger signals typically red in colour?
  1. AThe colour red is aesthetically pleasing.
  2. BRed light has a longer wavelength and is scattered the least, making it visible from a distance.
  3. CRed light is easier to produce artificially.
  4. DRed light is more reflective than other colours.
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Correct answer: (B) Red light has a longer wavelength and is scattered the least, making it visible from a distance.

Q17RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
Shalini travels a distance of 138 km with speed of 46 km/h and 438 km with 73 km/h by her car. Find the average speed (in km/h) of Shalini.
  1. A56
  2. B68
  3. C70
  4. D64
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Correct answer: (D) 64

Q18RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
The National Health Authority (NHA) and _________ signed a Memorandum of Understanding (MoU) on 11th September. The partnership aims to revolutionise artificial intelligence in health research with an innovative data platform.
  1. AIIT Madras
  2. BIIT Delhi
  3. CIIT Kharagpur
  4. DIIT Kanpur
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Correct answer: (D) IIT Kanpur

Q19RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
If the area of a trapezium is 80 cm² and the parallel sides are 13.5 and 6.5 cm, then the distance between them (in cm) is ______.
  1. A8
  2. B9
  3. C12
  4. D10
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Correct answer: (A) 8

Q20RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
A man walks to a viewpoint and returns to the starting point by his car maintaining constant speed and thus takes a total time of 3 hours 15 minutes. He would have gained 3 hours by driving both ways. How long would it have taken for him to walk both ways with same walking speed?
  1. A6 hours 15 minutes
  2. B5 hours 15 minutes
  3. C6 hours 45 minutes
  4. D7 hours 30 minutes
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Correct answer: (A) 6 hours 15 minutes

Q21RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
An object is placed 12 cm in front of a convex mirror with a focal length of 8 cm. What is the image distance (v)?
  1. A+20 cm
  2. B+4.8 cm
  3. C−20 cm
  4. D−4.8 cm
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Correct answer: (B) +4.8 cm

Q22RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
Akshat completes his journey in 10 hours. He covers half the distance at 72 km/h and the rest at 36 km/h. What is the length of the journey (in Km)?
  1. A481
  2. B480
  3. C473
  4. D471
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Correct answer: (B) 480

Q23RRB JE CBT-1, 16 Dec 2024, Shift 2 (12:45 PM)
Aman completes his journey in 14 hours. He covers half the distance at 39 km/h and the rest at 45 km/h. What is the length of the journey (in Km)?
  1. A592
  2. B591
  3. C594
  4. D585
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Correct answer: (D) 585

Q24RRB JE CBT-1, 16 Dec 2024, Shift 2 (12:45 PM)
If a 1352 m long train crosses a pole in 169 seconds, then find the time (in seconds) taken by the train to cross a 256 m long platform.
  1. A205
  2. B193
  3. C201
  4. D195
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Correct answer: (C) 201

Q25RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
Akshat completes his journey in 20 hours. He covers half the distance at 57 km/h and the rest at 95 km/h. What is the length of the journey (in Km)?
  1. A1435
  2. B1423
  3. C1416
  4. D1425
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Correct answer: (D) 1425

Q26RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
Radhika travels a distance of 230 km with speed of 46 km/h and 400 km with 100 km/h by her car. Find the average speed (in km/h) of Radhika.
  1. A70
  2. B75
  3. C72
  4. D80
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Correct answer: (A) 70

Q27RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
A student claims that two cars of equal mass, one moving at 40 km/h and another at 80 km/h, have the same kinetic energy if their engines provide the same power. What is the error in this reasoning?
  1. AThe cars have equal energy if the engines are identical.
  2. BKinetic energy depends on the square of speed, not just on power supplied.
  3. CPower supplied determines energy, regardless of speed.
  4. DBoth cars have equal kinetic energy since both cover the same distance.
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Correct answer: (B) Kinetic energy depends on the square of speed, not just on power supplied.

Q28RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
If a body at rest is dropped from a certain height and takes 4 seconds to reach the ground, what is the approximate height from which it was dropped? (Take g = 10 m/s²)
  1. A80 meters
  2. B160 meters
  3. C40 meters
  4. D100 meters
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Correct answer: (A) 80 meters

Q29RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
Mr. W travelled 425 km, 946 km and 340 km at a speed of 5 km/hr, 43 km/hr and 34 km/hr, respectively. Find his average speed in km/hr.
  1. AQuestion content
  2. BQuestion content
  3. CQuestion content
  4. DQuestion content
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Correct answer: (C)

Q30RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
A boat travels 36 km downstream in 3 hours and returns upstream covering the same distance in 5 hours. What is the speed of boat in still water?
  1. A10.2 km/hour
  2. B9.6 km/hour
  3. C11.7 km/hour
  4. D8.5 km/hour
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Correct answer: (B) 9.6 km/hour

Q31RRB JE CBT-1, 20 Feb 2026, Shift 3 (4:30 PM)
P gives Q a head-start of 10 seconds in a 600 m race, but both finish the race at the same time. Find the time taken by P to finish the race if the speed of Q is 4 m/sec.
  1. A140 Seconds
  2. B142 Seconds
  3. C146 Seconds
  4. D144 Seconds
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Correct answer: (A) 140 Seconds

Q32RRB JE CBT-1, 20 Feb 2026, Shift 3 (4:30 PM)
A train moves 120 km at 60 km/h and then another 60 km at 30 km/h. What is the average speed for the entire journey?
  1. A40 km/h
  2. B45 km/h
  3. C50 km/h
  4. D30 km/h
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Correct answer: (B) 45 km/h

Q33RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
A cyclist increases her speed from 6 m/s to 12 m/s in 3 seconds on a straight road. What is her acceleration during this period?
  1. A2 m/s²
  2. B3 m/s²
  3. C6 m/s²
  4. D0.5 m/s²
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Correct answer: (A) 2 m/s²

Q34RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
A is faster than B. In a 2500 m race, A gives B a start of 200 meters. A runs at 25 m/s. Who wins and by how much if B runs at 23 m/s?
  1. AThey finish together
  2. BA wins by 50 meters
  3. CB wins by 100 meters
  4. DA wins by 100 meters
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Correct answer: (A) They finish together

Q35RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
A ball initially at rest is dropped from a height and takes 5 seconds to reach the ground. What is the average speed during its fall? (g = 10 m/s²)
  1. A20 m/s
  2. B10 m/s
  3. C50 m/s
  4. D25 m/s
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Correct answer: (D) 25 m/s

Q36RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
A sound wave travels from air into water. How does its frequency, speed, and wavelength change as it crosses the boundary?
  1. AIts frequency increases, speed remains the same, and wavelength decreases
  2. BIts frequency decreases, speed decreases, and wavelength increases
  3. CIts frequency remains constant, speed decreases, and wavelength decreases
  4. DIts frequency remains constant, speed increases, and wavelength increases
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Correct answer: (D) Its frequency remains constant, speed increases, and wavelength increases

Q37RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
Suppose a student wants to design an amusement park ride that moves people in a circle at uniform speed. Which concept should the student apply to ensure riders stay safely in their seats during the circular motion?
  1. AIncreasing speed randomly will keep them safe
  2. BGravity alone is sufficient to keep the riders in place
  3. CA constant outward force is needed to keep riders pressed against their seats
  4. DA constant inward (centripetal) force is needed on the riders to keep them in uniform circular motion
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Correct answer: (D) A constant inward (centripetal) force is needed on the riders to keep them in uniform circular motion

Q38RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
During a round-trip journey where a person walks to a location at 5 km/h and returns at 3 km/h, which statement about average speed is correct?
  1. AAverage speed is 3 km/h.
  2. BAverage speed is 5 km/h.
  3. CAverage speed will be less than the arithmetic mean of 5 km/h and 3 km/h.
  4. DAverage speed equals the arithmetic mean of 5 km/h and 3 km/h.
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Correct answer: (C) Average speed will be less than the arithmetic mean of 5 km/h and 3 km/h.

Q39RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
In a 100-meter race, X runs at 5 m/s and Y at 4 m/s. How much head start should X give Y (in meters) so that the race ends in a tie?
  1. A25
  2. B15
  3. C20
  4. D10
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Correct answer: (C) 20

Q40RRB JE CBT-1, 19 Feb 2026, Shift 3 (4:30 PM)
If Chandu covers 285 km in a boat in 45 hours against the stream while he takes 18 hours to cover the same distance downstream, then find the speed of the stream.
  1. A4.75 km/h
  2. B5.78 km/h
  3. C5.16 km/h
  4. D1.39 km/h
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Correct answer: (A) 4.75 km/h

Q41RRB JE CBT-1, 19 Feb 2026, Shift 3 (4:30 PM)
Mr. Y travelled 438 km, 820 km and 972 km at a speed of 6 km/hr, 20 km/hr and 27 km/hr, respectively. Find his average speed in km/hr.
  1. AQuestion content
  2. BQuestion content
  3. CQuestion content
  4. DQuestion content
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Correct answer: (A)

Q42RRB JE CBT-1, 19 Feb 2026, Shift 3 (4:30 PM)
A ball at rest is dropped from the top of a 20 m high building. Calculate the speed with which it hits the ground. (Take g = 10 m/s²)
  1. A40 m/s
  2. B14 m/s
  3. C10 m/s
  4. D20 m/s
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Correct answer: (D) 20 m/s

Q43RRB JE CBT-1, 19 Feb 2026, Shift 3 (4:30 PM)
A car travels 120 meters north in 10 seconds and then instantly returns to its original position in the next 10 seconds. Which statement best describes the car's average velocity for the entire trip?
  1. AThe average velocity is zero because the displacement is zero.
  2. BThe average velocity is 6 m/s because the total distance is 240 m in 20 seconds.
  3. CThe average velocity is 12 m/s because the car covered 120 m in 10 seconds.
  4. DThe average velocity is 12 m/s because the total time is 10 seconds.
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Correct answer: (A) The average velocity is zero because the displacement is zero.

Q44RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
A student drags a suitcase on a flat airport floor. If the force applied and the distance moved both double, how does the work done change?
  1. AWork done halves.
  2. BWork done becomes four times greater.
  3. CWork done doubles.
  4. DWork done remains unchanged.
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Correct answer: (B) Work done becomes four times greater.

Q45RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
In the context of uniform circular motion, which of the following examples from everyday life best illustrates this concept?
  1. AA satellite revolving around the Earth at a fixed speed in a circular orbit
  2. BA pendulum bob swinging to and fro
  3. CA car moving with changing speed along a circular track
  4. DA person walking randomly in a park
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Correct answer: (A) A satellite revolving around the Earth at a fixed speed in a circular orbit

Q46RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
If two cars start at the same point and move along a straight road, Car X at a constant speed of 40 km/h and Car Y at a constant speed of 60 km/h, which statement correctly compares their motions after 2 hours?
  1. ACar Y will be 20 km ahead of Car X after 2 hours.
  2. BCar Y will be 40 km ahead of Car X after 2 hours.
  3. CCar X will be 40 km ahead of Car Y after 2 hours.
  4. DBoth cars will have traveled the same distance after 2 hours.
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Correct answer: (B) Car Y will be 40 km ahead of Car X after 2 hours.

Q47RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
A 200 m long train crosses a man walking at a speed of 6.6 km/h in the opposite direction in 15 seconds. What is the speed (in km/h) of the train?
  1. A46.3
  2. B41.4
  3. C42.2
  4. D37.2
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Correct answer: (B) 41.4

Q48RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
In covering a distance of 130 km, Amit takes 4 hours more than Vinay. If Amit doubles his speed, then he would take 9 hour less than Vinay. Amit's original speed is:
  1. A9 km/h
  2. B14 km/h
  3. C5 km/h
  4. D6 km/h
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Correct answer: (C) 5 km/h

Q49RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
An object of mass 3 kg initially at rest is subjected to a constant force of 9 N for 2 seconds. What will be its final velocity?
  1. A3 m/s
  2. B18 m/s
  3. C9 m/s
  4. D6 m/s
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Correct answer: (D) 6 m/s

Q50RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
Ajay can row at 4.5 km/h in still water. It takes him twice the time to row up as it takes for him to row down the same distance. Find the speed of the stream (in km/h).
  1. A0.5
  2. B3
  3. C1.5
  4. D2
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Correct answer: (C) 1.5

How to use these RRB JE Mathematics questions

Every question here was asked in a real RRB JE paper; the paper and shift are shown on the card, and the number opens the question on its own page. Try each one before tapping Show answer, then attempt the full RRB JE papers as timed tests to check your speed under exam conditions.

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