Question

A train running at the rate of 40 km/h passes a man riding parallel to the railway line in the same direction at 25 km/h in 48 seconds.Find the length of the train in metres.

• A. 100 m
• B. 200 m
• C. 150 m
• D. 250 m

Answer 1

The correct option is B 200 m

Let length of train = x km
Then, Speed relative to man =(40-25)=15 km/hr
According to question,
$\frac{x}{15}=\frac{48}{60\times 60}$
$x=\frac{1}{5}x\Rightarrow \frac{1}{5}\times 1000=200m$
$\therefore$ The length of the train=200m