Question

A train passes two bridges of lengths 800 m and 400 m in 100 seconds and 60 seconds respectively. The length of the train is 

(a) 80 m 

(b) 90 m 

(c) 200 m 

(d) 150 m

Answer 1

(c) 200 metres

Let the length of the train be x metres.

Then, \(\frac{800+x}{100} = \frac{400+x}{60}\)

⇒ 2400 + 3\(x\) = 2000 + 5\(x\)

⇒ \(x\) = 200 metres.