Question

please answer this question as fast as possible in a long and proper way today is my exam in tuition

Answer 1

Hello Angel !

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

While overtaking the relative velocity of train A w.r.t 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 m

$t = \frac{distance}{speed}$
So,
20 = 200 ÷ u-v
=> u - v = 10 ---- (i)

Also,
10 = 200 ÷ u + v

=> u + v = 20 ------ (ii)

**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.

Thank you !