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Trains - Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Trains. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Q 1 - A 120 m long train takes 10 seconds to cross a man standing on a platform. The speed of the train is:

Answer : B

Explanation

Speed =(120/10) m/sec   = 12 m/s

Q 2 - A train travelling with a constant speed crosses a 96m long platform in 12 seconds and another 141m long platform in 15 seconds. The length of the train and speed is

Answer : C

Explanation

let the length of the train be x m.
(96+x)/12 =(141+x)/15   ⇒ 15* (96+x) =12*(141+x)
⇒ 3x =(1692-1440)= 252 ⇒x =  84 m
Speed of the train =(96+84)/12 m/sec. = 15m/sec. =(15*18/5)kmph = 54kmph

Q 3 - A train crosses a pole in 15 sec. while it crosses a 100m long platform in 25 sec. The length of the train is

Answer : C

Explanation

Let the length of the train be x metres. Then,
 x/15 =(100+x)/25  ⇒ 25x=1500+15x ⇒ 10x = 1500 ⇒ x = 150
Hence, the length  of the train is 150 m.

Q 4 - Two trains are running in opposite directions at 36kmph and 45kmph cross each other in 20 sec. if one train is 200m long, the length of the other train is

Answer : D

Explanation

let the length of the other train be x meters.
Sum of their length =(200+x)m
Relative speed =(36+45) kmph =81kmph = (81*5/18)m/sec. = 45/2 m/sec.
(200+x)/ (45/2) = 20  ⇒ 400 +2x = 900 ⇒ 2x = 500  ⇒ x = 250
∴  length of the other train is 250m

Q 5 - A train moving at the rate of 36 km per hour crosses a standing man in 10 sec. It will cross a platform 55m long, in

Answer : D

Explanation

speed of the train = (36*5/18)m/sec. =10m/sec.
Let the length of the second train be x meters. Then, x/10 =10 ⇒ x =100m
Time taken by the train to cross the platform = (100+55)/10 sec.=31/2 sec.

Q 6 - Two trains, each 100m long, moving in opposite directions, cross each other in 8 sec. If one is moving twice fast as the other , then the speed of the faster train is

Answer : C

Explanation

Let the speed of the trains be x m/sec. and 2x n/sec.
Relative speed = (x+2x)m/sec. =3x m/sec.
(100+100)/8 = 3x  ⇒ 24x =200 ⇒ x =25/3
∴ speed of faster train = (50/3)m/sec. = (50/3*18/5) km/gr = 60 km/hr

Q 7 - Two man running in opposite directions cross a man standing on the platform in 27 sec. and 17 sec. respectively and they cross each other in 23 seconds. The ratio of their speeds is

Answer : B

Explanation

Let the speed of the two trains be x m/sec. and y m/sec.
Length of the first train =(27x)m
Length of the second train = (17y)m
(27x+17y)/(x+y) = 23  ⇒ 27x+17y = 23x+23 y 
⇒4x=6y ⇒ 2x=3y ⇒ x/y 3/2 
Ratio of their speed = 3:2

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