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Problems on Trains

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91.

Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?

Answer: B

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92.

A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?

Answer: A

Length of the train be ‘X’

X + 150/15 = X + 250/20

4X + 600 = 3X + 750

X = 150m 

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93.

A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

Answer: A

Speed = 45 * 5/18 = 25/2 m/sec

Total distance covered = 360 + 140 = 500 m

Required time = 500 * 2/25 = 40 sec

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94.

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

Answer: B

Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 45 ==> x = 50 km/hr.

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95.

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

Answer: B

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96.

A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?

Answer: C

Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec

Total distance = 360+140 = 500 meter 

Time = Distance/speed 

 

= 500 * (2/25) = 40 seconds

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97.

A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

Answer: B

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98.

A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?

Answer: C

Length = Speed * time

Speed = L/T 

S = 400/20

S = 20 M/Sec 

Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)

Speed = 72 Kmph

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99.

A man walks with 3kmph speed in the direction of a train. How much time will a 500m long train take to overtake him at a speed of 63kmph?

Answer: B

Distance to be covered = 500 metres

Effective speed will be equal to difference in the speed of ma and train as they move in opposite directions.

Thus, effective speed = 63kmph-3kmph= 60kmph.

60kmph is equal to 50/3 m/s.

Time = Distance/ Speed

Thus, time taken will be equal to 500/(50/3).

On solving, time = 30 seconds.

Therefore, the train will take 30 seconds to overtake the man.

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100.

A train passes a telegraph post in 8 seconds and a 264 m long bridge in 20 seconds. What is the length of the train

Answer: B

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