﻿ Two trains are moving in opposite directions on parallel tracks, one with a velocity twice that of the other. If the total length of two trains is 480 ft and they take 3 seconds to cross each other, find their individual velocities.  from Physics Motion in A Plane Class 11 Manipur Board

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Two trains are moving in opposite directions on parallel tracks, one with a velocity twice that of the other. If the total length of two trains is 480 ft and they take 3 seconds to cross each other, find their individual velocities.

Let the two trains A and B be moving in the opposite directions with velocities u and 2u respectively.

Relative velocity, V = u + 2u = 3u

Total distance moved = total length of two trains.

i.e. S = 480 ft.

Time taken by trains to cross each other, t = 3 sec

Now, S     = Vt

480 = 3u x 3

2u = 106.66 ft/s

u = 53.33ft/s

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