The Length of the Train (in Metres) :

A train takes 18 seconds to pass a railway station 162 m. long and 15 seconds to pass another station 120 m. The length of the train (in metres):

  1. 110
  2. 100
  3. 90
  4. 70
Anurag Mishra Professor Asked on 28th November 2015 in Maths.
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1 Answer(s)

Answer: (3) 90

Explanation:-
Let the length of train be X m.
The length of a railway station  = 162 m
Time taken by a train to pass the railway station = 18 seconds
Then, the speed of the train = (X + 162)/18 m/sec.

The length of another railway station = 120 m
Time taken by the same train to pass the another railway station = 15 seconds
Then, the  speed of the train = (X + 120)/15

A train have a same speed,
Then, (X + 162)/18 = (X + 120)/15
(X + 162)/6 = (X + 120)/5
By, cross multiplication,
5 (X + 162) = 6 (X  +120)
5 X + 810 = 6 X + 720
X = – 90
The distance always positive but not in negative.

Then, the length of the train is X = 90 m.

Hence, the answer is (3) 90.

Anurag Mishra Professor Answered on 29th November 2015.
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