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]$latex \frac{b}{a}hours&s=1$
[B]$latex \frac{b}{5a}hours&s=1$
[C]$latex \frac{ab}{200}hours&s=1$
[D]$latex \frac{200b}{a}hours&s=1$
$latex \mathbf{\frac{b}{5a}hours}&s=1$
Man’s Speed $latex = \frac{Distance}{Time}&s=1$
$latex = \frac{a}{b}km/hr&s=1$
$latex = \frac{1000a}{b}m/hr&s=1$
∴ Time taken in walking 200 metre
$latex = \frac{200}{\frac{1000a}{b}} = \frac{b}{5a}hours&s=1$
Hence option [B] is correct answer.