A trian of length 200 m is moving along a circular path as shown in the figure. If it completers one rotation with a speed of `54 km h^(-1)` , then the time taken by it to trace the path is ______ seconds.

Options

A. 25
B. 13.33
C. 26.66
D. 26

Answer

C

Explanation

Length of the trains, l = 200 m
Number of rotations completed = 1
Speed with which it is moving along the circular path = `54kmh^(-1)`
= `54xx5/18ms^(-1)=15ms^(-1)`
As the train is completing 1 rotation, the distance moved by the train = `2xx200=400m`
Speed = `("distance")/("time")`
Time = `(400m)/(15ms^(-1))=80/3s=26.666s=26.bar6s`