Question

A train 110 m long travels at a speed of 60 km per hour. A man is running at 6 km per hour in the same direction in which the train is moving. The train will cross the man in

• A. $5\frac{2}{3}$ seconds
• B. $7\frac{1}{3}$ seconds
• C. 12 seconds
• D. 54 seconds

Answer 1

The correct option is B

$7\frac{1}{3}$ seconds

Distance to be covered = 110 m

Relative speed = 60 - 6 = 54 km/h

= $\frac{54\times 5}{18}$ m/s

= 15 m/s

Time taken by the to cross the man = $\frac{distance}{speed}$

= $\frac{110}{15}$ = $7\frac{1}{3}$ seconds