Arun
Last Activity: 5 Years ago
Let the length and velocity of goods train to be ‘y’ m and ’x’ m/s respectively.
Now, velocity of passenger train = 72km/h = 72* 5/18 = 20 m/s.
Also, given length of passenger train = 240 m.
Relative velocity of passenger train with respect to goods train = (20 – x) m/s.
Distance covered by passenger train with respect to goods train in 25 s is given by:
y = (20 – x)* 25------(1)
Also, distance covered by passenger train with respect to goods train to overtake it in 30 s is given by :
240 = (20 – x)* 30------(2)
Now, dividing equation (1) by (2) on both the sides simultaneously, we get :
y/240 = 25/30
On solving the above equation we got :
y = 200 m
Hence, the length of goods train is 200 m.