A man walks ‘a’ km in ‘b’ hours. The time taken to walk 200 meters is :

A man walks ‘a’ km in ‘b’ hours. The time taken to walk 200 meters is :
[A]\frac{b}{a}hours
[B]\frac{b}{5a}hours
[C]\frac{ab}{200}hours
[D]\frac{200b}{a}hours

\mathbf{\frac{b}{5a}hours}
Man’s Speed = \frac{Distance}{Time}
= \frac{a}{b}km/hr
= \frac{1000a}{b}m/hr
∴ Time taken in walking 200 metre
= \frac{200}{\frac{1000a}{b}} = \frac{b}{5a}hours
Hence option [B] is correct answer.

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