First slide

Relative velocity in 1-d

Question

A train 100 m long travelling at 40 ms^-1 starts overtaking another train 200 m long travelling at 30 ms^-1. The time taken by the first train to pass the second train completely is

Easy

A

30s
B

40s
C

50s
D

60s

Solution

Relative velocity of overtaking = 40 - 30 = 10 ms^-1. Total relative distance covered with this relative velocity during
overtaking = 100 + 200 = 300 m
So time taken = 300/10 = 30 s

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