Question : A man walks at 6 m/sec and reaches his destination in 20 minutes. A woman covers the same distance in 1.2 hours. What is the speed of the woman (in km/hr)?
Option 1: 6
Option 2: 2
Option 3: 5
Option 4: 1
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Correct Answer: 6
Solution :
Given,
Speed of a man = 6 m/s
Time = 20 minutes
Time taken by a woman to cover the same distance = 1.2 hours
We know, Distance = Speed × Time
Speed of a man = 6m/s
⇒ 6m/s = 6 × $\frac{18}{5}$ = 21.6 km/hr
Now, Time = 20 min = $\frac{20}{60}$ h = $\frac{1}{3}$ hr
⇒ Distance = Speed × Time = 21.6 × $\frac{1}{3}$ = 7.2 km
Now, As woman covers same distance = 7.2 km, Time taken = 1.2 hours
⇒ Speed = $\frac{\text{Distance}}{\text{Time}}=\frac{7.2}{1.2} = 6$ km/hr
Hence, the correct answer is 6 km/hr.
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