Two trains, 140 m and 110 m long, are going in the same direction. The faster train takes 50 seconds to pass the other train completely. If they are moving in opposite directions, they pass each other completely in 5 seconds. Find the speed of both the trains.

Length of the faster train (L) = 140 m

Length of the slower train (l) = 110 m

Speed of the faster train = V km/h 

Speed of the slower train = v km/h 

Now, by using the formula,

t = (L +l)/(V - v) 

50 = (140 + 110)/(V - v) 

V - v = 5 ----------------(1) 

Similarly,

t = (L + l)/(V + v) 

5 = (140 + 110)/(V + v) 

V + v = 50 -----------------(2) 

From (1) and (2),

V = 55/2 = (55/2) * (18/5) = 99 km/h

v = (45/2) * (18/5) = 81 km/h So, the speed of the faster train is 99 km/h and the speed of the slower train is 81 km/h.