Question : A man is walking at a speed of 14 km/h. After every km, he takes a rest for 7 minutes. How much time will he take to cover a distance of 7 km?
Option 1: $1 \frac{1}{5}$ hours
Option 2: $2 \frac{1}{3}$ hours
Option 3: $1 \frac{1}{3}$ hours
Option 4: $\frac{1}{5}$ hours
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Correct Answer: $1 \frac{1}{5}$ hours
Solution :
Given:
A man is walking at a speed of 14 km/h.
We know, time = $\frac{\text{Distance}}{\text{Speed}}$
So, the time taken to cover 7 km without rest = $\frac{7}{14}$ hrs = 30 minutes
After every km, he takes a rest for 7 minutes.
He must take rest 6 times during the journey.
So, total time taken to rest = 6 × 7 minutes = 42 minutes
Therefore, total time of journey = 30 + 42 = 72 minutes = $1\frac{1}{5}$ hours
Hence, the correct answer is $1 \frac{1}{5}$ hours.
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