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4

A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?

A. 66 km/hr

B. 72 km/hr

C. 78 km/hr

D. 81 km/hr

Correct Answer :

D. 81 km/hr


4.5 km/hr = 4.5 x 518 m/sec = 54 m/sec = 1.25 m/sec, and   5.4 km/hr = 5.4 x 518 m/sec = 32 m/sec = 1.5 m/sec.   Let the speed of the train be x m/sec.  Then, (x - 1.25) x 8.4 = (x - 1.5) x 8.5   8.4x - 10.5 = 8.5x - 12.75   0.1x = 2.25   x = 22.5  Therefore Speed of the train = 22.5 x 185 km/hr = 81 km/hr. 

Related Questions

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4

A train is 100 meter long and is running at the speed of 30 km per hour. Find the time it will take to pass a man standing at a crossing.

A. 10 seconds

B. 12 seconds

C. 14 seconds

D. 16 seconds

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4

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

A. 45 km/hr

B. 50 km/hr

C. 54 km/hr

D. 55 km/hr

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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. The length of the train is:

A. 45 m

B. 50 m

C. 54 m

D. 72 m

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4

A 300 meter 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. 310 meter

B. 335 meter

C. 345 meter

D. 350 meter

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4

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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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

How many seconds will a 500 metre 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

B. 30

C. 40

D. 45

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4

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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4

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

A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

A. 120 metres

B. 180 metres

C. 324 metres

D. 150 metres

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4

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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4

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 ?

A. 650 meter

B. 555 meter

C. 500 meter

D. 458 meter

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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

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4

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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4

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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4

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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4

A train speeds past a pole in 15 seconds and a platform 100 meter long in 25 seconds. What is length of the train ?

A. 140 meter

B. 145 meter

C. 150 meter

D. 155 meter

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4

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

A. 200 meter

B. 225 meter

C. 245 meter

D. 250 meter

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4

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

D. 79.2 km/hr

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4

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is ?

A. 1:3

B. 3:2

C. 3:5

D. 3:7

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4

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

B. 240 meter

C. 260 meter

D. 320 meter

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4

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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4

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

C. 3.2 min

D. 3.5 min

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4

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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4

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?

A. 23 m

B. 2329 m

C. 2779 m

D. 29 m

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4

Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:

A. 2:3

B. 4:3

C. 6:7

D. 9:16

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4

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

A. 30 Km/hr

B. 36 Km/hr

C. 80 Km/hr

D. 90 Km/hr

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4

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

A. 10

B. 18

C. 36

D. 72

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4

A train is moving at a speed of 132 km/hour. If the length of the train is 110 meters, how long will it take to cross a railway platform 165 meters long.

A. 7 second

B. 7.5 second

C. 8 second

D. 8.5 second

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4

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

A. 65 sec

B. 89 sec

C. 100 sec

D. 150 sec