What will be the Length of Platform? if

A 300-metre long train crosses a platform in 39 seconds while it crosses a single pole in 18 seconds. What is the length of the platform?

  1. 320m
  2. 350 m
  3. 650 m
  4. 680 m
Tahir Lecturer Asked on 26th July 2015 in Maths.
Add Comment
1 Answer(s)

Answer: (2) 350 m
Explanation:-
Let be the length of the platform = X m
The length of the train = 300 m
Total distance covered by train = (X  + 300) m
Time take by train to cross the platform  = 39 sec
Formula-
Time = distance/speed
Then, (X + 300)/speed = 39                  …………………… (1)

Time taken by a train to cross the pole = 18 sec
Then, the speed of the train = 300/18  = 50/3 m/sec
The value of speed put in equation (1)
Then, (X + 300) x 3 /50 = 39
(X + 300) = 13 x 50
X + 300 = 650
X = 650 –  300
X = 350 m
Hence, the length of the platform is 350 m.

Anurag Mishra Professor Answered on 26th July 2015.
Add Comment

Your Answer

By posting your answer, you agree to the privacy policy and terms of service.