Question

A train 100m long travelling at 40m/s starts overtaking anothr train 200m long travelling at 30m/s the time taken by the first train to pass the second train completely is

Answer 1

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Answer 2

Answer:

Time taken by the first train is t=30 s

Explanation:

The length of the first train is a=100 m

The speed of the first train is $v_{1}=40\ m/s$

The length of the second train is b=200 m

The speed of the second train is $v_{2}=30\ m/s$

As both the trains are moving in same direction

So the resultant velocity will be

$v=v_{1}-v_{2}\\v=40-30\\v=10\ m/s$

The total distance for the train to travel to overtake the second train is

d=a+b=100+200=300 m

The time taken t by the first train to overtake is

$t=\dfrac{d}{v}\\t=\dfrac{300}{10}\\t=30\ s$