# 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):

- 110
- 100
- 90
- 70

**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.