Problems on Trains
Important Instructions
With stoppage, the speed of a train is 36 km/hr. However without stoppage, it is 40 km/hr. Find out for how many minutes does the train stop per hour?
Answer: A
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A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Answer: B
Speed = 300/18 = 50/3 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/39 = 50/3
3x + 900 = 1950 => x = 350 m.
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A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
Answer: A
Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9 = 150 meter
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A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Answer: D
Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train = (Speed x Time) = (50/3 * 9) m = 150 m.
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How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Answer: B
Speed = 72 * 5/18 = 20 m/sec
Total distance covered = 110 + 132 = 242 m.
Required time = 242/20 = 12.1 sec.
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A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Answer: B
Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m
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How long does a train 90 metres long running at the speed of 71 km/hr take to cross a bridge 132 metres in length?
Answer: B
Speed = (71 x 5/18) m/sec = 19.72 m/sec
Total distance covered = (90 + 132) m = 222 m.
Required time = (222/19.72) sec = 11.26 sec
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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?
Answer: B
Suppose they meet x hours after 7 a.m.
Distance covered by A in x hours = 20x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
20x + 25(x - 1) = 110
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" src="https://www.indiabix.com/_files/images/aptitude/1-sym-imp.gif" /> x = 3.
So, they meet at 10 a.m.
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A train takes 20 seconds to pass completely through a station 160 m long and 15 seconds through another station 110 m long. Find the length of the train.
Answer: D
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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?
Answer: C
Let length of tunnel is x meter
Distance = 800+x meter
Time = 1 minute = 60 seconds
Speed = 78 km/hr = 78*5/18 m/s = 65/3 m/s
Distance = Speed*Time
800+x = (65/3) * 60
800+x = 20 * 65 = 1300
x = 1300 - 800 = 500 meters
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