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Problems on Trains

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71.

Two trains are traveling in the same direction at speeds of 50 kmph and 20 kmph respectively If the faster train passes the driver in the slower train in 20 seconds, What is the length of the faster train?

Answer: D

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72.

A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

Answer: B

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73.

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

Answer: C

Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.

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74.

A train 120 m long passes a telegraph post in 6 seconds. Find the speed of the train.

Answer: D

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75.

Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.

Answer: B

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76.

Two trains A and B are moving in the same direction. A has speed of 8 km/h and B has speed of 13 km/h. What is relative speed of B with respect to A?

Answer: B

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77.

A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?

Answer: D

Let the length of the train be x m and its speed be y m/sec.

Then, x/y = 8 => x = 8y

(x + 264)/20 = y

y = 22

Speed = 22 m/sec = 22 * 18/5 = 79.2 km/hr.

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78.

A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?

Answer: B

L = S*T 

S= 1200/120

S= 10 m/Sec.

Total length (D)= 1900 m

T = D/S

T = 1900/10

 

T = 190 Sec 

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79.

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

Answer: B

Speed = 54 * 5/18 = 15 m/sec.

Length of the train = 15 * 20 = 300 m.

Let the length of the platform be x m . Then, 

(x + 300)/36 = 15 => x = 240 m.

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80.

Two trains are moving in the same direction at 50 km/hr and 30 km/hr. The faster train crosses a man in the slower train in 18 seconds. Find the length of faster train.

Answer: B

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