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Walking at the rate of 4 km an hour, a man covers a certain distance in 3 hrs 45 minutes. If he covers the same distance on cycle, cyling at the rate of 16.5 km/ hr the time taken by it to over the same distance will be :

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55.45 min

$54 (\frac{6}{11}) \min$

55.44 min

45.55 min

answer is B.

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Detailed Solution

Convert time in hours only, 3 hrs 45 minutes $\Rightarrow 3 h r s + \frac{45}{60} \Rightarrow 3 \frac{3}{4} h r s$

$Distance = s p e e d \times t i m e \Rightarrow 4 \times \frac{15}{4} = 15 k m$

$∴ C y c l i n g s p e e d = 16.5 k m / h r$

$∴ T i m e = \frac{Distance}{s p e e d} \Rightarrow \frac{15 k m}{16.5 k m / h r}$

$T i m e = 54.5454 (o r) 54 (\frac{6}{11}) \min$

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