Question

Two trains, each of length 100 m, are running
on parallel tracks. One overtakes the other in
20 second and one crosses the other in 10
second. Calculate the velocities of two trains.​

Answer 1

Answer:

Explanation:

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.