The length of a Train A is 480 m and it takes 2 minutes to cross a tunnel of length 1,320 m. The length of a Train B, which is slower than Train A, is 420 m. Both the trains start at the same time from the opposite directions. If the difference between their speeds is 18 km/h, find the time they take to cross each other. (Enter only the number)

Answer: 52.94

Step-by-step explanation:

Length of train A = 480m

Tunnel length = 1320m

Time taken to cross tunnel = 2 mins = 120sec

Length of train B = 420m

Train B is slower than train A

Difference between their speed = 18km/hr

18km/hr = (18*1000) / 3600 = 5m/s

Speed of train A:

Speed = distance / time

Speed = 1320 / 120 = 11m/s

Therefore, speed of train B:

(11 - 5) m/s = 6m/s

Relative speed of the two trains is therefore;

(Speed of A + speed of B)

Note : they are moving in opposite direction

(11 + 6) m/s = 17m/s

Therefore time taken to cross each other:

(Sum of the length of both trains / relative speed of the trains)

Time taken = (480m + 420m) / (17m/s)

Time taken = 900m / 17m/s

Time taken = 52.94s