Question : Walking at the speed of 8 km/hr, a man covers a certain distance in 2 hours 30 minutes. Running at a speed of 10 km/hr, the man will cover the same distance in:
Option 1: 2 hours 10 minutes
Option 2: 1 hour
Option 3: 1 hour 45 minutes
Option 4: 2 hours
Correct Answer: 2 hours
Solution :
Let's denote the distance covered by the man as D.
The formula to calculate distance is:
Distance = Speed × Time
Walking at a speed of 8 km/hr for 2 hours and 30 minutes i.e. 2.5 hours:
⇒ D = 8 × 2.5 = 20 km
Walking at a speed of 10 km/hr for 20 km
Time taken = $\frac{\text{Distance}}{\text{Speed}}$
⇒ Time = $\frac{20}{10}$ = 2 hours
Hence, the correct answer is 2 hours.
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