Question

Two trains of lengths 300 m and 400 m,
moving in opposite directions, started
crossing each other. At exactly the
same moment a person standing inside
the first train, at its end, started
walking towards its engine at 5 km/hr.
If the speeds of the first and the second
train are 50 km/hr and 35 km/hr.
respectively, then how much time after
the trains started crossing each other,
did the second train cross the man​

Answer 1

Given : two trains of lengths 300m and 400m moving in opposite directions started crossing each other. at exactly the same moment a person standing inside the first train​, at its end, started walking towards its engine at 5km/hr. if the speeds of the first and the second train are 50km/hr and 35km/hr respectively,

To Find : how much time after the trains started crossing each other did the second train cross the man walking the first train?​

Solution:

two trains of lengths 300m and 400m moving in opposite directions started crossing each other.

Hence Distance to be covered = 300 + 400 = 700 m  = 0.7 km

Distance = Speed x Time

Let say After T hrs  second train cross the man walking the first train

Distance covered by 1st train = 50T  km

Distance covered by 2nd train = 35T  km

Distance Covered by Man = 5T  km

Total Distance = 50T + 35T + 5T  = 90T km

90T =  0.7

=> T = 0.7 / 90    hrs

=> T = 7/900  hrs

Time in seconds = 3600 x 7/900

= 28 secs

in 28 Seconds 2nd train cross the man walking the first train

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