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What is the correct answer?

4

A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is-

A. 400 m

B. 450 m

C. 560 m

D. 600 m

Correct Answer :

A. 400 m


Let the length of the first train be x metres.  
Then, the length of the second train is (x2) metres.  
Relative speed = (48 + 42) kmph = ( 90 x 518) m/sec = 25 m/sec.  
Therefore [x + (x/2)]25 = 12 
or 3x2 = 300     
or     x = 200.
Therefore Length of first train = 200 m.  
Let the length of platform be y metres.  
Speed of the first train = (48 x 518) m/se= 403 m/sec.   
Therefore (200 + y) x 340 = 45  
 600 + 3y = 1800  
 y = 400 m.

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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?

A. 5 sec

B. 6 sec

C. 7 sec

D. 10 sec

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A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger ?

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Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is

A. 36

B. 45

C. 48

D. 49

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Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?

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

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B. 89 sec

C. 100 sec

D. 150 sec

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

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B. 225 meter

C. 245 meter

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A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:

A. 130

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C. 500

D. 540

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Two trains 140 metre and 160 metre long run at the speed of 60 km/hr and 40 km/hr respectively in opposite direction on parallel tracks. What time these will take to cross each other ?

A. 10.7 Seconds

B. 10.8 Seconds

C. 10.9 Seconds

D. 11.8 Seconds

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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.

A. 12 sec

B. 24 sec

C. 48 sec

D. 60 sec

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A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?

A. 320 m

B. 350 m

C. 650 m

D. Data inadequate

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A train travelling at a speed of 75 mph enters a tunnel 31/2 miles long. The train is 1/4 mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?

A. 2.5 min

B. 3 min

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A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?

A. 3.6 sec

B. 18 sec

C. 36 sec

D. 72 sec

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Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is-

A. 30 km/hr

B. 45 km/hr

C. 60 km/hr

D. 75 km/hr

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A train, 800 meter long is running with a speed of 78 km/hr. It crosses a tunnel in 1 minute. What is the length of the tunnel ?

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Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 12 seconds, the speed of each train (in km/hr) is

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

A. 230 meter

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How long does a train 110 meters long running at the speed of 72 km/hour take to cross a bridge 132 meters in length?

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C. 10 seconds

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Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is ?

A. 40 meter

B. 45 meter

C. 50 meter

D. 55 meter

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How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr

A. 25 Seconds

B. 28 Seconds

C. 30 Seconds

D. 35 Seconds

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Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?

A. 9 a.m.

B. 10 a.m.

C. 10.30 a.m.

D. 11 a.m.

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

A. 69.5 km/hr

B. 70 km/hr

C. 79 km/hr

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A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?

A. 230 m

B. 240 m

C. 260 m

D. 270 m

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A train 100 m long is running at the speed of 30 km / hr. Find the time taken  by   it to pass a man standing near the railway line.

A. 12 sec

B. 20 sec

C. 15 sec

D. 17 sec

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A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is:

A. 48 km/hr

B. 54 km/hr

C. 66 km/hr

D. 82 km/hr

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Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is

A. 50 m

B. 72 m

C. 80 m

D. 82 m

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4

Length of a train is 130 meters and speed of train is 45 km/hour. This train can pass a bridge in 30 seconds, then find the length of the bridge.

A. 230 meters

B. 235 meters

C. 240 meters

D. 245 meters

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4

A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. Find the length of train ?

A. 45 meter

B. 50 meter

C. 55 meter

D. 60 meter

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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.

A. 20 seconds

B. 30 seconds

C. 40 seconds

D. 50 seconds

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4

Speed of a goods train is 72 km/hr. This train crosses a 250 meter platform in 26 seconds. Then find the length of goods train.

A. 250 meters

B. 260 meters

C. 270 meters

D. 280 meters