Question 87Asked in BPSC TRE 2.0 (2023) Mathematics and Science Class 6-8

A vehicle covered a distance with a constant speed. Had its speed been 6 km/hr more, the time elapsed in the journey would have been 4 hours less; had its…एक गाड़ी किसी दूरी को एक नियत चाल से तय करती है। यदि उसकी चाल 6 कि॰मी॰/घण्टा अधिक होती, तो यात्रा में 4 घण्टे कम लगते; यदि उसकी चाल 6 कि॰मी॰/घण्टा कम होती,…

A vehicle covered a distance with a constant speed. Had its speed been 6 km/hr more, the time elapsed in the journey would have been 4 hours less; had its speed been 6 km/hr less, the time elapsed in the journey would have been 6 hours more. The distance is
एक गाड़ी किसी दूरी को एक नियत चाल से तय करती है। यदि उसकी चाल 6 कि॰मी॰/घण्टा अधिक होती, तो यात्रा में 4 घण्टे कम लगते; यदि उसकी चाल 6 कि॰मी॰/घण्टा कम होती, तो यात्रा में 6 घण्टे अधिक लगते। दूरी है
  1. A640 km640 कि॰ मी॰
  2. B680 km680 कि॰ मी॰
  3. C720 km720 कि॰ मी॰
  4. DMore than one of the aboveउपर्युक्त में से एक से अधिक
  5. ENone of the aboveउपर्युक्त में से कोई नहीं
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Correct answer: (C) 720 km720 कि॰ मी॰

Explanation

Let distance d, speed v: d = (v+6)(t-4) = (v-6)(t+6) with d = vt. Solving gives v = 30, t = 24, so d = 720 km.दूरी d, चाल v और समय t लें: d = vt = (v+6)(t-4) = (v-6)(t+6)। हल करने पर v = 30, t = 24, अतः d = 720 कि॰मी॰।

From BPSC TRE 2.0 (2023) Mathematics and Science Class 6-8 — Previous Year Paper

This is question 87 of BPSC TRE 2.0 (2023) Mathematics and Science Class 6-8 — Previous Year Paper. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.