Problems on Trains - Quantitative Aptitude (MCQ) questions for Q. 87

Q.  A train runs across a post in 15 seconds and across a platform of length 100m in 25 seconds. Determine the length of this train:
- Published on 15 Jun 15

a. A. 50 m
b. C. 200m
c. D. 130m
d. B. 150 m

ANSWER: B. 150 m
 
Let us assume for this question that the length of train is x metres and it is assumed to be running at the speed of y m/sec.

A pole is assumed as a point object.

=>Time taken by the train to pass the pole= x/y

=>15=x/y

=>y=x/15

Now, the train passes the platform which is 100 m in length in 25 seconds.

=>x+100/y=25

=>x+100/25=y

Equating speed generated from both cases:

x+100/25=x/15

Therefore x = 150 metres.

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