Two trains start at the same time from Dhaka and Cumilla and proceed towards each other at 70 kmph and 90 kmph respectively. When they meet, it is found that one train has travelled 60 km more than the other. Find the distance between Dhaka and Cumilla.

Question: Two trains start at the same time from Dhaka and Cumilla and proceed towards each other at 70 kmph and 90 kmph respectively. When they meet, it is found that one train has travelled 60 km more than the other. Find the distance between Dhaka and Cumilla.

Solution:
Let,
They meet after t time.

ATQ,
(90t) = (70t) + 60
⇒ (90t) - (70t) = 60
⇒ 20t = 60
∴ t = 3 hours

So the distance between Dhaka and Cumilla = (90 × 3) + (70 × 3)
= 270 + 210
= 480 km