Aptitude Problem on Trains Test Paper 3

11) A train moving at 108 km/hr crosses a platform in 18 seconds and a man standing on the platform in 10 seconds. Find the length of the platform.

210 meters
220 meters
240 meters
260 meters

The correct option is (C).

Answer with explanation:

Speed of train in m/s= 108* Apti Problem on trains 41 = 30 m/s

Length of the train = Speed * Time (time taken to cross the man)

= 30 x 10 = 300 meters

Now, the time taken to cross the platform is = Apti Problem on trains 42

Total distance covered = length of train + length of platform

Let the length of platform is X then the total distance = 300 + X

Speed of train= 30 m/s

Time = Apti Problem on trains 43

18 = Apti Problem on trains 44

540 = 300+X

240 = X or X=240 meters

12) A train of length 240 meters crosses a pole in 12 seconds. In what time it will cross a platform of length 400 meters?

33 seconds
35 seconds
37 seconds
39 seconds

The correct option is (A)

Answer with explanation:

Time taken to cross the platform = Apti Problem on trains 45

Distance covered = length of train + length of platform

= 240 + 400 = 660 meters

Speed of train = Distance (length of train) / time taken to cross the pole

Apti Problem on trains 46

So,time taken to cross the platform = Apti Problem on trains 47

13) Two trains of equal length are moving in same direction on parallel tracks at speed of 92 km/hr and 72 km/hr respectively. The faster train crosses the slower train in 18 seconds. Find the length of each train.

65 meters
60 meters
55 meters
50 meters

The correct option is (D)

Answer with explanation:

Let the length of each train is X.

Distance covered = 2X (sum of the length of trains)

Relative Speed of faster train= 92 − 72 = 20 km/hr

Relative Speed in m/s = 20 x Apti Problem on trains 48

Relative speed of faster train = Apti Problem on trains 49

Apti Problem on trains 50

Apti Problem on trains 51

14) A train of length 150 meters running at 100 km/hr. It crosses another train which is moving in opposite direction at 80 km/hr in 8 seconds. Find the length of the other train.

100 meters
190 meters
250 meters
280 meters

The correct option is (C)

Answer with explanation:

Relative Speed = 100 + 80= 180 km/hr

Relative Speed in m/s= 180 x Apti Problem on trains 52 = 50 m/s

Let the length of the other train is = X meters

Now Relative Speed = Apti Problem on trains 53

Apti Problem on trains 53

Then, Apti Problem on trains 53 =50

150 + X = 400

X = 400 -150

X = 250 meters

15) Two trains of equal length 200 meters are moving in opposite direction on parallel tracks. The trains cross each other in 10 seconds. If one train is moving twice as fast as the other train, find the speed of faster train.