# Problems on Trains ( 11 to 15 )

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Problems on Trains ( 11 to 15 ):

# APTITUDE QUESTIONS (PROBLEMS ON TRAINS):

11. A train 165 metres long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?

A)    8 sec

B)    9 sec

C)    7 sec

D)    10 sec

E)    None of these

Explanation:

Speed of train relative to man = (60 + 6) km/hr = 66 km/hr = (66*5/18) m/sec = (55/3) m/sec

∴ time taken to pass the man = (165*3/55) sec = 9 sec

12. Two trains 160 m and 190 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other, is:

A)    9

B)    9.6

C)    10

D)    12.6

E)    None of these

Explanation:

Relative speed = (60 + 40) km/hr = (100*5/18) m/sec = (250/9) m/sec

Distance covered in crossing each other = (160 + 190) m = 350 m

Required time = (350*9/250) sec = 63/5 sec = 12.6 sec

13. A train 110 m long passes a man, running at 6 km/hr in the direction opposite to that of the train, in 6 seconds. The speed of the train is:

A)    54 km/hr

B)    60 km/hr

C)    66 km/hr

D)    72 km/hr

E)    None of these

Explanation:

Speed of the train relative to man = (110/6) m/sec = (110/6)*(18/5) km/hr = 66 km/hr

Let the speed of the train be x kmph. Then, relative speed = (x + 6) km/hr

∴ x + 6 = 66 or x = 60 km/hr

14. A 270 metres long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 seconds. What is the length of the other train?

A)    230 m

B)    250 m

C)    260 m

D)    320 m

E)    None of these

Explanation:

Relative speed = (120 + 80) km/hr = (200*5/18) m/sec = (500/9) m/sec

Let the length of the other train be x metres.

Then, (x+270) / 9 = 500/9 <=> x + 270 = 500 <=> x = 230

15. Two trains of equal lengths take 12 seconds and 15 seconds respectively to cross a pole. If the length of each train be 120 metres, in what time will they cross each other travelling in opposite direction?

A)    10

B)    13.3

C)    15

D)    20

E)    None of these

Explanation:

Speed of the first train = (120/12) m/sec = 10 m/sec

Speed of the second train = (120/15) m/sec = 8 m/sec

Relative speed = (10 + 8) m/sec = 18 m/sec

∴ required time = (120+120)/18 sec = 13.3 sec