Question 77

Two trains, 330 and 110 m long, are going in the same direction. The faster train takes one minute to pass the other completely. If they are moving in opposite directions, they pass each other completely in 3 s. What is the speed of the faster train?

Solution

Using the concept of relative velocity:

Total distance-240 m

When going in same direction

240/x-y=60

x-y=4

When going in different direction

240/x+y=3

x+y=80

On solving the equations we get,

x=42 and y=38

Speed of faster train is 42m/s

and slower one is 38m/s.

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