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What is the correct answer?

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

Correct Answer :

B. 50 meter


First person speed = 2*(5/18) = 5/9 m/sec
Second person speed = 4*(5/18) = 10/9 m/sec
Let the length of train is x metre and speed is y m/sec
then,
xy-59=99y-5=x9y-x=5...(i)Also,xy-109=1090y-9x=100...(ii)form(i) and (ii), we get,x=50
So length of train is 50 metre

Related Questions

What is the correct answer?

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

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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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. 40 meter

B. 45 meter

C. 50 meter

D. 55 meter

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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

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4

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?

A. 10

B. 12

C. 15

D. 20

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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

What is the correct answer?

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

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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

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 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 : 4

D. None of these

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4

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?

A. 40 sec

B. 42 sec

C. 45 sec

D. 48 sec

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4

In what time will a train 100 meters long cross an electric pole, if its speed is 144 km/hr

A. 5 seconds

B. 4.5 seconds

C. 3 seconds

D. 2.5 seconds

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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 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

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 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

What is the correct answer?

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

What is the correct answer?

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

What is the correct answer?

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

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?

A. 15 seconds

B. 12.1 seconds

C. 10 seconds

D. 8.1 seconds

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4

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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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.

What is the correct answer?

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 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

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

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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. 220 meter

B. 225 meter

C. 230 meter

D. 235 meter

What is the correct answer?

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

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

A. 150 meter

B. 145 meter

C. 140 meter

D. 135 meter

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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 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