Problem on Trains
- A 200 m long train is running at a speed of 60 km/ hr. Find out the time it takes to pass a man standing at the platform
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Required time taken = Distance covered in passing the person (in meter) / Speed of train in m/sec
Correct Option: B
Speed of the train = (60 x 5/18) m/sec = 50/3 m/sec
Distance covered in passing the standing person = 200m
Required time taken= =200/(50/3) = 200 x (3/50) = 12 sec
- A train is running at the speed of 264 Km/hr. If the length of the train is 330m, then how long will it take to cross a platform which is 330m long ?
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Distance covered by train in passing the platform = Length of train + Length of platform
Correct Option: A
Speed of the train = (264 x 5/18) m/sec = 220/3 m/sec
Distance covered in passing the platform = (330+330) m= 660m
Time taken= ( 660 / (220/3) ) sec = (660 x 3/ 220 ) = 9 sec
- A train which is 264 meter long passes a pole in 12 sec. Find out the speed of train?
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Speed in km/hr = (Speed in m/sec) x 18/5
Correct Option: D
Length of train = 264 m
Time taken to cross the pole = 12 sec
Speed of the train, in m/sec = Length of the train/ Time taken to cross the pole
Therefore, speed in m/sec= (264 / 12) m/sec = 22 m /sec
Calculating speed in km/ hour = (22 m/sec ) x 18/5 = 396/5 km/hr = 79.2 km/ hour
- A train 200 m long is running at a speed of 36 km/hr. It crosses a bridge in 30 sec. What is the length of the bridge?
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Distance covered in crossing the bridge= Length of train + Length of bridge
Correct Option: D
Speed in m/sec = 36 km/hr x 5/18 = 10m/sec
Distance covered by train in crossing the bridge = Speed of train in m/sec x time in sec = 10 m/sec x 30 sec = 300 m
Now, we know that
Distance covered by train in crossing the bridge= Length of train + Length of bridge
Therefore, Length of bridge = 300m - 200m = 100m
- A train which 360m long takes 36 sec to cross a telegraph pole. How long will it take to cross a 600m long platform?
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Time taken = Distance covered by train in crossing the platform / Speed in m/sec
Correct Option: A
Speed of train in m/sec = 360m / 36 sec = 10 m/sec
Distance covered by train in crossing the platform = Length of train + Length of Platform = 360m + 240m = 600m
Therefore, Time taken to cover this distance = 600m /(10 m/sec)
= 60 sec