Question : A man can cover a certain distance in 3 hours and 36 minutes if he walks at a rate of 5 km/h. If he covers the same distance on a bicycle at a rate of 24 km/h, then the time taken by him in minutes is:
Option 1: 40
Option 2: 45
Option 3: 50
Option 4: 55
Correct Answer: 45
Solution :
Let the time taken by him on a bicycle be $x$ hour.
Distance covered by him by walking = $5×3\frac{36}{60}=5×\frac{18}{5}=18$ km.
Distance covered by him on the bicycle = 24$x$ km.
According to the question,
24$x$ = 18
⇒ $x = \frac{18}{24}$ hour = $\frac{18}{24}×60$ minutes = 45 minutes.
Hence, the correct answer is 45.
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