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Question 1
Two trains coming from opposite direction and running respectively at 60km/h and 120km/h cross each other in 5sec. What is the length of each train if the two trains are equal?
125 m.
126 m.
124 m.
127 m.
Ans: a
The trains cover a distance equal to the sum of their lengths at a relative speed 60 + 120 = 180km/h × (5/18), or 50m/s. We can use the speed distance formula: sum of lengths = 50 × 5 = 250m. Halving this we get the length of one train = 125m.
Question 2
A train is moving at a speed of 87m/s. It takes 3 seconds to cross a jeep that is travelling in the opposite direction at a speed of 76m/s. What is the length of the train?
489 meters.
490 meters.
488 meters.
491 meters.
Ans: a
The distance to be covered is equal to the length of the train. This distance has to be covered at a net relative speed equal to the sums of the speeds of the jeep and the train, so v = 87 + 76 = 163. The length of the train will be time × speed = $3 × 163$ = 489meters.
Question 3
A train of length 228m crosses a pole in 19 sec. How long will it take to cross a platform of length 456 m?
57 sec.
58 sec.
56 sec.
59 sec.
Ans: a
The speed of the train can be obtained from the time it takes to cross the pole. The speed = $228/19$ = 12 m/s. To cross the platform it must travel a total distance equal to the combined lengths of the train and the platform at this speed. So time = ${228 + 456}/12$ = 57seconds.
Question 4
A train running at a speed of 17m/s crosses a pole in 13sec. How long will it take to cross a platform of length 1105m?
78 sec.
79 sec.
77 sec.
80 sec.
Ans: a
The length of the train can be obtained from the time it takes to cross the pole. The length of the train = $17 × 13$ = 221m. To cross the platform it must travel a total distance equal to the combined lengths of the train and the platform at this speed. So time = ${221 + 1105}/17$ = 78 seconds.
Question 5
A train is moving at a speed of 60m/s. It takes 5 seconds to cross a jeep that is travelling in the opposite direction at a speed of 76m/s. What is the length of the train?
680 meters.
681 meters.
679 meters.
682 meters.
Ans: a
The distance to be covered is equal to the length of the train. This distance has to be covered at a net relative speed equal to the sums of the speeds of the jeep and the train, so v = 60 + 76 = 136. The length of the train will be time × speed = $5 × 136$ = 680meters.
This Blog Post/Article "Problems on Trains Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-13
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