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(A) Let the time taken by both trains to meet be $t$ hours.Since they start at the same time,the time $t$ is the same for both.Distance travelled by t

Vedclass · Accepted Answer

$720$

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(A) Let the time taken by both trains to meet be $t$ hours.Since they start at the same time,the time $t$ is the same for both.Distance travelled by the first train: $d_1 = 20t$.Distance travelled by the second train: $d_2 = 25t$.According to the problem,the second train has travelled $80 \, km$ more than the first: $25t = 20t + 80$.$5t = 80 \Rightarrow t = 16 \, hours$.The distance between the two stations is the sum of the distances travelled by both trains: $D = d_1 + d_2 = 20t + 25t = 45t$.$D = 45 	imes 16 = 720 \, km$.

Two trains start at the same time from two stations and proceed towards each other at the speeds of $20 \, km/h$ and $25 \, km/h$ respectively. When they meet,it is found that one train has travelled $80 \, km$ more than the other. Find the distance between the two stations (in $km$).

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