Two trains start at the same time from Delhi | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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 $km$).

Similar Questions

In a race of $800\, m,$ $A$ can beat $B$ by $40\, m$. In a race of $500\, m,$ $B$ can beat $C$ by $5\, m$. In a race of $200\, m,$ $A$ will beat $C$ by? (in $m$)

The distance between two cities $A$ and $B$ is $330\, km$. $A$ train starts from $A$ at $8\, a.m.$ and travels towards $B$ at $60\, km/hr$. Another train starts from $B$ at $9\, a.m.$ and travels towards $A$ at $75\, km/hr$. At what time do they meet? (in $a.m.$)

Aditya covered a certain distance at some speed. Had he moved $3 \text{ km/h}$ faster, he would have taken $40 \text{ minutes}$ less. If he had moved $2 \text{ km/h}$ slower, he would have taken $40 \text{ minutes}$ more. The distance is: (in $\text{ km}$)

$A$ person sets out to cover a distance of $12 \, km$ in $45 \, minutes$. If he covers $\frac{3}{4}$ of the distance in $\frac{2}{3}$ of the time,what should be his speed to cover the remaining distance in the remaining time? (in $km/h$)

$A$ train of $320 \, m$ crosses a platform in $24 \, s$ at a speed of $120 \, km/h$. $A$ man crosses the same platform in $4 \, min$. What is the speed of the man in $m/s$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module