Question : Walking at the rate of 4 km/hr, a man covers a certain distance in 3 hours 45 minutes. If he covers the same distance on a cycle, cycling at the rate of 16.5 km/hr, the time taken by him is:
Option 1: 55.45 minutes
Option 2: 54.55 minutes
Option 3: 55.44 minutes
Option 4: 45.55 minutes
Correct Answer: 54.55 minutes
Solution :
Speed = 4 km/hr
Time taken = 3 hr 45 min = $\frac{15}{4}$ hr
So, the distance = Speed × Time = $4×\frac{15}{4}$ = 15 km
New speed = 16.5 km/hr
$\therefore$ Time taken at 16.5 km/hr = $\frac{\text{Distance}}{\text{Speed}}$ = $\frac{15}{16.5}$ = 0.9091 hr = 0.9091 × 60 = 54.55 minutes
Hence, the correct answer is 54.55 minutes.
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