A 340 m long train crosses a man walking at a speed of 4.5 km/h in the opposite direction in 6 seconds. What is the speed (in km/h) of the train?

Correct option is D

Given:

Length of train = 340 m

Speed of man = 4.5 km/h (opposite direction)

Time taken = 6 seconds

Formula Used:

Relative speed = $$\frac{\text{Distance}}{\text{Time}}$$​​

Solution: ​

Relative speed of train + man  = $$\frac{340}{6}$$​ = 56.67 m/s

Convert man’s speed to m/s:

$$\frac{4.5 \times 1000}{3600}$$​ = 1.25 m/s

Train speed = 56.67 − 1.25 = 55.42 m/s

Convert to km/h:  55.42 ×$$\frac{18}5$$​ = 199.5 km/h