Train and Tunnels Competitive Exams
50 questions · Mathematics
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Question 1 of 50
A train 200 m long runs at 63 km/h. A man runs towards it on the track at 9 km/h. How long does the train take to pass him?
ExplanationRelative speed = 72 km/h = 20 m/s; time = 200/20 = 10 s.
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Question 2 of 50
The relative speed of two trains moving in opposite directions is the ___ of their speeds.
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Question 3 of 50
A train covers a certain distance in 4 hours at 90 km/h. How long will it take at 120 km/h?
ExplanationDistance = 360 km; time = 360/120 = 3 hours.
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Question 4 of 50
A train 180 m long runs at 72 km/h. In how many seconds does it pass a cyclist riding in the same direction at 18 km/h?
ExplanationRelative speed = 54 km/h = 15 m/s; time = 180/15 = 12 s.
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Question 5 of 50
A train running at 54 km/h passes a pole in 8 seconds. What is the length of the train?
Explanation54 km/h = 15 m/s; length = 15 x 8 = 120 m.
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Question 6 of 50
Two trains of equal length run in opposite directions at 36 km/h and 54 km/h and cross each other in 12 seconds. What is the length of each train?
ExplanationRelative speed = 90 km/h = 25 m/s; total length = 300 m; each = 150 m.
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Question 7 of 50
A train 300 m long running at 54 km/h crosses a bridge 1.2 km long. How long does it take?
Explanation1.2 km = 1200 m; distance = 1500 m; speed = 15 m/s; time = 100 s.
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Question 8 of 50
Two trains each 150 m long run in the same direction at 72 km/h and 54 km/h. How long does the faster train take to pass the slower one?
ExplanationRelative speed = 18 km/h = 5 m/s; time = 300/5 = 60 s.
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Question 9 of 50
A train takes 12 seconds to pass a pole and 20 seconds to cross a platform 160 m long. What is the length of the train?
ExplanationThe extra 8 seconds cover 160 m, so speed = 20 m/s; length = 20 x 12 = 240 m.
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Question 10 of 50
A train 150 m long running at 54 km/h crosses a platform 150 m long. How much time does it take?
ExplanationDistance = 150 + 150 = 300 m; speed = 15 m/s; time = 300/15 = 20 s.
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Question 11 of 50
Telegraph posts along a railway line are 50 m apart. A train passes 21 posts in 1 minute. What is its speed?
Explanation21 posts make 20 gaps: 20 x 50 = 1000 m per minute = 60 km/h.
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Question 12 of 50
A train covers 420 km in 7 hours. How far will it go in 5 hours at the same speed?
ExplanationSpeed = 60 km/h; distance = 60 x 5 = 300 km.
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Question 13 of 50
A 250 m long train at 90 km/h enters a tunnel 750 m long. How long does it take from the moment the engine enters until the last coach leaves the tunnel?
ExplanationDistance = 250 + 750 = 1000 m; speed = 25 m/s; time = 40 s.
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Question 14 of 50
A train 200 m long at 72 km/h crosses a bridge 300 m long. How long does it take?
ExplanationDistance = 500 m; speed = 20 m/s; time = 500/20 = 25 s.
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Question 15 of 50
A train running at 36 km/h crosses a 400 m tunnel in 50 seconds. What is the length of the train?
Explanation36 km/h = 10 m/s; total distance = 500 m; train = 500 - 400 = 100 m.
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Question 16 of 50
Trains 200 m and 100 m long run in the same direction at 108 km/h and 72 km/h. How long does the faster train take to completely pass the slower one?
ExplanationRelative speed = 36 km/h = 10 m/s; time = 300/10 = 30 s.
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Question 17 of 50
A train 150 m long passes a man standing on the platform in 6 seconds. What is its speed?
ExplanationSpeed = 150/6 = 25 m/s = 90 km/h.
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Question 18 of 50
Trains 360 m and 120 m long move in opposite directions at 54 km/h and 90 km/h. How long do they take to cross each other?
ExplanationRelative speed = 144 km/h = 40 m/s; time = 480/40 = 12 s.
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Question 19 of 50
A train at 72 km/h takes 30 seconds to cross a platform 400 m long. What is the length of the train?
ExplanationTotal distance = 20 x 30 = 600 m; train = 600 - 400 = 200 m.
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Question 20 of 50
A train 200 m long passes a pole in 10 seconds. What is its speed?
ExplanationSpeed = 200/10 = 20 m/s = 72 km/h.
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Question 21 of 50
The relative speed of two trains moving in the same direction is the ___ of their speeds.
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Question 22 of 50
Two trains of lengths 100 m and 150 m run on parallel tracks in opposite directions at 40 km/h and 50 km/h. How long do they take to cross each other?
ExplanationRelative speed = 90 km/h = 25 m/s; distance = 250 m; time = 10 s.
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Question 23 of 50
A train 200 m long runs at 72 km/h. It crosses another train 100 m long coming from the opposite direction in 10 seconds. What is the speed of the second train?
ExplanationRelative speed = 300/10 = 30 m/s = 108 km/h; second train = 108 - 72 = 36 km/h.
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Question 24 of 50
A train leaves at 8:15 am and covers 270 km at 90 km/h without stopping. At what time does it arrive?
ExplanationTime = 270/90 = 3 hours.
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Question 25 of 50
A train running at 72 km/h passes a pole in 9 seconds. What is its length?
Explanation72 km/h = 20 m/s; length = 20 x 9 = 180 m.
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Question 26 of 50
A train 200 m long overtakes another train 100 m long, running in the same direction at 54 km/h, in 30 seconds. What is the speed of the first train?
ExplanationRelative speed = 300/30 = 10 m/s = 36 km/h; first train = 54 + 36 = 90 km/h.
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Question 27 of 50
A train 200 m long crosses a platform in 24 seconds at 54 km/h. What is the length of the platform?
ExplanationDistance = 15 x 24 = 360 m; platform = 360 - 200 = 160 m.
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Question 28 of 50
A train 180 m long runs at 36 km/h. How long does it take to pass a pole?
Explanation36 km/h = 10 m/s; time = 180/10 = 18 s.
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Question 29 of 50
Two trains of lengths 120 m and 130 m run in the same direction at 90 km/h and 54 km/h. How long does the faster train take to completely overtake the slower one?
ExplanationRelative speed = 36 km/h = 10 m/s; time = 250/10 = 25 s.
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Question 30 of 50
When a train passes a pole, the distance it covers equals ___.
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Question 31 of 50
Convert 90 km/h into m/s.
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Question 32 of 50
Suppose a train goes from Lahore to Rawalpindi, a distance of 280 km in this problem, at 70 km/h. How long does the journey take?
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Question 33 of 50
Convert 40 m/s into km/h.
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Question 34 of 50
A train covers 360 km in 4 hours. What is its speed?
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Question 35 of 50
A train 200 m long runs at 20 m/s through a tunnel 600 m long. For how many seconds is the whole train inside the tunnel?
ExplanationThe train is fully inside while it covers 600 - 200 = 400 m; time = 400/20 = 20 s.
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Question 36 of 50
Two stations are 450 km apart. Two trains start from them at the same time towards each other at 80 km/h and 70 km/h. After how many hours do they meet?
ExplanationRelative speed = 150 km/h; time = 450/150 = 3 hours.
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Question 37 of 50
Excluding stoppages a train's speed is 72 km/h, and including stoppages it is 60 km/h. For how many minutes does the train stop per hour?
ExplanationIt loses 12 km per hour at 72 km/h: 12/72 x 60 = 10 minutes.
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Question 38 of 50
A train 120 m long runs at 100 km/h. It crosses a train 130 m long coming from the opposite direction in 5 seconds. What is the speed of the other train?
ExplanationRelative speed = 250/5 = 50 m/s = 180 km/h; other train = 80 km/h.
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Question 39 of 50
A train runs at 60 km/h for 3 hours and then at 80 km/h for 2 hours. What is its average speed?
ExplanationTotal distance = 180 + 160 = 340 km; total time = 5 h; average = 68 km/h.
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Question 40 of 50
A train 150 m long overtakes a man walking in the same direction at 6 km/h in 10 seconds. What is the speed of the train?
ExplanationRelative speed = 150/10 = 15 m/s = 54 km/h; train = 54 + 6 = 60 km/h.
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Question 41 of 50
A train runs at 60 km/h when moving but stops for 10 minutes every hour. What is its average speed including stoppages?
ExplanationIt runs for 50 minutes in each hour, covering 60 x 50/60 = 50 km.
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Question 42 of 50
A train 300 m long passes a pole in 15 seconds and a platform in 39 seconds. What is the length of the platform?
ExplanationSpeed = 300/15 = 20 m/s. Distance in 39 s = 780 m, so platform = 780 - 300 = 480 m.
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Question 43 of 50
Convert 15 m/s into km/h.
ExplanationMultiply by 18/5: 15 x 18/5 = 54.
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Question 44 of 50
A train 120 m long passes a signal post in 6 seconds. What is its speed in m/s?
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Question 45 of 50
Convert 72 km/h into m/s.
ExplanationMultiply by 5/18: 72 x 5/18 = 20.
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Question 46 of 50
A train covers the first half of a journey at 40 km/h and the second half at 60 km/h. What is its average speed for the whole journey?
ExplanationAverage speed = 2ab/(a + b) = 2 x 40 x 60/100 = 48 km/h.
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Question 47 of 50
A train 100 m long crosses a tunnel 200 m long in 15 seconds. What is its speed?
ExplanationDistance = 300 m; speed = 300/15 = 20 m/s = 72 km/h.
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Question 48 of 50
To convert a speed from km/h to m/s, we multiply by:
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Question 49 of 50
Trains 240 m and 160 m long move towards each other at 54 km/h and 36 km/h. In how many seconds do they cross?
ExplanationRelative speed = 90 km/h = 25 m/s; time = 400/25 = 16 s.
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Question 50 of 50
When a train crosses a platform, the distance covered equals the length of the train plus the length of the ___.
0 / 50 answered · 0 skipped
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