# Walking at the rate of 4 km an hour, a man covers a certain distance in 3 hours 45 minutes. If he covers the same distance on cycle, cycling at the rate of 16.5 km/hr, the time taken by him is :

Walking at the rate of 4 km an hour, a man covers a certain distance in 3 hours 45 minutes. If he covers the same distance on cycle, cycling at the rate of 16.5 km/hr, the time taken by him is :
[A]45.55 minutes
[B]54.55 minutes
[C]55.44 minutes
[D]55.45 minutes

54.55 minutes
Distance covered on foot $= 4\times 3\frac{3}{4}km = 15km$
∴ Time taken on cycle $= \frac{Distance}{Speed} = \frac{15}{16.5}hour$
$= \frac{15\times 60}{16.5}minutes$
$= 54.55 minutes$
Hence option [B] is correct answer.