1. A train 110 m long is running with speed of 60 km/hr .In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
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Correct Ans:6 sec
Explanation:
Relative speed = Train speed + Man Speed = 60 + 6 = 66 kmph = 18 1/3 m /sec Distance to be covered = 110 meter Time taken = Speed / Distance = 110 / (18 1/3) = (110 / 55) x 3 = 2 x 3 = 6 sec
2. How many seconds will a 500 m 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?
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Correct Ans:30
Explanation:
Given, Length of the train = 500 m
Speed of the man = 3 km/hr
Speed of the train = 63 km/hr
Time taken by the train to cross a man = Length of the train / (speed of the train – speed of the man)
=> Time = 500 m / (63 – 3) km/hr
=> Time = 500 m / 60 km/hr
(to convert 60 km/hr to m/sec)
=> Time = 500 m / [60 * (5/18) m/sec]
=> Time = {500 / [60 * (5/18)]} sec
=> Time = {(500 * 18) / (60 * 5)} sec
=> Time = 30 sec
3. 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?
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Correct Ans:79.2 km/hr
Explanation:
4. A train speeds past pole in 15 seconds and a platform 100 m long in 25 seconds ,its length is:
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Correct Ans:150 m
Explanation:
5. A 300 m long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds .What is the length of the platform?
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Correct Ans:350 m
Explanation:
6. 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?
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Correct Ans:240 m
Explanation:
Given, time taken by train to pass the man = 20 sec
Speed of the train = 54 km/hr
---> Converting into meter/sec
=> Speed of train =54 * (5/18) m/sec = 15 m/sec
W.K.T: Speed of train = Length of train/ Time taken by train to pass the man
=> 15 =Length of train / 20
=>Length of train = 15 * 20
=>Length of train = 300 metre.
Given,A train passes a station platform in 36 seconds.
=>Speed of train = (Length of train + Length of platform) / Time taken by train to pass the platform
=> 15 = (300 +Length of platform) / 36
=> 15 * 36 = (300+Length of platform)
=> 540 =300+Length of platform
=> 540 - 300 =Length of platform
Thus,Length of platform = 240 meter.
7. A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 seconds .What is the length of the goods train?
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Correct Ans:270 m
Explanation:
8. A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel is:
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Correct Ans:500 m
Explanation:
Given, Length of the train = 800 m
Speed of the train = 78 km/hr (convert km/hr to m/sec)
= 78 * (5/18) m /sec
= 21.667 m /sec
=> Speed of the train = 21.667 m /sec
Time taken by the train to cross the tunnel = 1 min = 60 sec
To find the length of the tunnel:
Time taken by train to cross tunnel = (Length of tunnel + Length of train) / speed of the train
=> 60 = (Length of tunnel + 800) / 21.667
=> 60 * 21.667 = Length of tunnel + 800
=> 1300 = Length of tunnel + 800
=> 1300 – 800 = Length of tunnel
=> 500 = Length of tunnel
Thus, the Length of tunnel = 500 m
9. The length of the bridge , which a train 130 m long and travelling at 45 km/hr can cross in 30 seconds, is:
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Correct Ans:245 m
Explanation:
10. A train 240 m long passed a pole in 24 seconds .How long will it take to pass a platform 650 m long?
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Correct Ans:89 sec
Explanation:
11. A train covers a distance of 12 km in 10 minutes .If it takes 6 seconds to pass a telegraph post,then the length of the train is:
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Correct Ans:120 m
Explanation:
12. A train running at the speed of 60 km/hr crosses a pole in 9 seconds .What is the length of the train?
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Correct Ans:150 m
Explanation:
13. 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?
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Correct Ans:40 seconds
Explanation:
Given, Length of train =360 m
Length of bridge =140 m
Speed of train = 45 km/hr ---> Converting into meter/ second
= 45 * (5/18) m / sec
= 12.5 m/sec
=>Speed of train =12.5 m/sec
Required Time =(Length of train +Length of bridge) /Speed of train
= (360 + 140) / 12.5
= 500 / 12.5
= 40 sec
=>Required Time =40 sec
14. How much time does a train 110 metres long running at the speed of 72 km/hr take to cross a bridge 132 metres in length?
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Correct Ans:12.1 seconds
Explanation:
Given, Length of train = 110 meter
Speed of train =72 km/hr
Length of bridge =132 metre
---> Converting Speed from km/hr into m/sec
=>Speed of train = 72 * (5/18) m/sec
= 4 * 5
= 20 m/sec
Formula:-Time taken by train to cross the bridge = (Length of the train + Length of the bridge) /Speed of train
= (110 + 132) / 20
= 242/ 20
= 12.1 sec
Thus,Time taken by train to cross the bridge =12.1 seconds
15. A train 280 m long, running with a speed of 63 km/hr will pass a tree in:
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Correct Ans:16 seconds
Explanation:
Given
Length of the train = 280 m
Speed of the train = 63 km / hr
---> To convertkm/hr to m/sec multiply speed with (5 / 18)
= 63 x (5 / 18) m/sec
= 17.5 m/sec
ThereforeSpeed of the train =17.5m/sec
Now,Time taken by the train tocross an electric pole =Length of the train/Speed of the train
= 280/17.5
=16 sec
The time taken is16 sec.
16. In what time will a train 100 metres long cross an electric pole, if its speed be 144 km/hr?
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Correct Ans:2.5 seconds
Explanation:
Given
Length of the train = 100 m
Speed of the train = 144 km / hr
---> To convertkm/hr to m/sec multiply speed with (5 / 18)
= 144 x (5 / 18) m/sec
= 40 m/sec
Therefore Speed of the train =40 m/sec
Now, Time taken by the train tocross an electric pole =Length of the train/Speed of the train
T = 100 / 40
= 2.5 sec
The time taken is 2.5 sec.
17. Two trains 100 metres and 120 metres long are running in the same direction with the speeds of 72 km/hr and 54 km/hr .In how much time will the first train cross the second?
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Correct Ans:44 second
Explanation:
18. A train is moving at a speed of 132 km/hr .If the length of the train is 110 metres ,how long will it take to cross a railway platform 165 metres long?
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Correct Ans:7 1/2 sec
Explanation:
19. 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:
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Correct Ans:12 sec
Explanation:
20. A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:
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Correct Ans:1 km/hr
Explanation:
Suppose he move 4 km downstream in x hours. Then,
Speed downstream = ( 4/ x ) km/hr.
Speed upstream = (3/ x ) km/hr.
Therefore, 48 / ( 4 / x ) + 48 / (3/x) = 14 or x = 1/2 .
So, Speed downstream = 8 km/hr, Speed upstream = 6 km/hr.
Rate of the stream = 1 / 2 (8-6) km/hr = 1 km/hr
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