Two trains start at the same time from Delhi | vedclass

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(C) Let the time taken by both trains to meet be $t$ hours.Since they start at the same time and meet at the same time,the time $t$ is constant for bo

Vedclass · Accepted Answer

$150$

Vedclass · Answer

(C) Let the time taken by both trains to meet be $t$ hours.Since they start at the same time and meet at the same time,the time $t$ is constant for both.Let the distance travelled by the second train (speed $65 \, km/h$) be $d \, km$.Then the distance travelled by the first train (speed $85 \, km/h$) is $(d + 20) \, km$.Using the formula $	ext{Time} = \frac{	ext{Distance}}{	ext{Speed}}$,we have:$t = \frac{d}{65} = \frac{d + 20}{85}$Cross-multiplying gives: $85d = 65(d + 20)$$85d = 65d + 1300$$20d = 1300$$d = 65 \, km$.Distance travelled by the first train $= 65 + 20 = 85 \, km$.Total distance between Delhi and Mumbai $= 85 + 65 = 150 \, km$.

Two trains start at the same time from Delhi and Mumbai and move towards each other at the rate of $85 \, km/h$ and $65 \, km/h$ respectively. When they meet,it is found that one train has travelled $20 \, km$ more than the other. Find the distance between Delhi and Mumbai (in $km$).

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