Question

Two trains A and B of length 100m each are running on parallel tracks. One overtakes the other in 20s (if they travel in same direction) and one crosses the other in 10s (if they travel in opposite direction). The speed of the train are

Answer 1

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HERE IS YOUR SOLUTION;

◆ Let u & v be the velocity of the two trains named A & B.

While overtaking the relative velocity of train A with respect to B = u - v.

While crossing, the relative velocity of train A with respect to B = u + v.

◆Total distance to be travelled by Train A while crossing = 100 + 100 = 200.

So,

20 = 200 ÷ u-v

=> u - v = 10....1)

Also,

10 = 200 ÷ u + v

=> u + v = 20.......2)

◆◆ On solving the equation 1 & 2, we get;◆◆

u = 15 M/S of the train A / First Train.

v= 5 M/S of the train B / Second Train.

HOPE IT HELPS