1. Mr.X left for village 1 from Village 2 at 1.00 pm. He travelled at the speed of 40km/hr for 1 and half hours. After that the speed was reduced to 30 km/hr. If the distance between two villages is 80 kms, at what time did Mr.X reach village 1?
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Correct Ans:3.10 pm
Explanation:
Mr.X travelled at 40 km/hr for 1 (1/2) hours = (3/2 hours)
Distance = Speed * time
= 40 x 3/2
= 60 km.
Given, the total distance between two villages = 80 kms
Therefore, remaining distance = 80 - 60 = 20 km.
Given, After 3/2 hours, the speed was reduced to 30 km/hr
Time taken to cover the remaining 20 km = 20/30
= 2/3 hour
Total time taken = 3/2 + 2/3 hours
= ( 9+ 4) / 6
= (13 / 6 ) hours
= 2 (1 / 6) hours
[ In order to convert hours into minutes i.e 1 hr = 60 minutes]
= 2 * ( 1/ 6) * 60 minutes
= 2 hours 10 minutes
So, Mr.X reached village 1 at (1.00 pm + 2 hours 10 minutes) = 3.10pm
Hence he reached village1 at 3.10 pm
2. 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
3. A jogger running at 9 km/hr alongside a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
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Correct Ans:36 sec
Explanation:
Given, Speed of jogger = 9 km/hr
Speed of train = 45 km/hr
Speed of train relative to jogger = (45 - 9) km/hr = 36 km/hr
---> Converting into meter/sec
=>Speed of train relative to jogger = 36 * (5 /18) m/sec
= 10 m/sec
Distance to be covered = (240 + 120) m = 360 m
Time taken by thetrain to pass the jogger = Distance / speed
= 360 / 10
= 36 sec
4. 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
5. 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:
6. 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:
7. 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:
8. 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.
9. 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:
10. 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
11. 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:
12. 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:
13. 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:
14. 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:
15. 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
16. How long 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:
17. 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:
18. 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:
19. 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:
20. 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:
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