Question 78

A man has to cover a distance of 6 km in 45 minutes. If he covers one-half of the distance in $$\frac{2}{3}^{rd}$$ time, what should be his speed to cover the remaining distance in the remaining time?

Solution

Remaining Distance to be covered = 6 - $$\frac{1}{2}$$ x 6 = 3 km

Remaining time = 45 - $$\frac{2}{3}$$ x 45 = 15 minutes (or) $$\frac{1}{4}$$hour

Required speed to cover the remaining distance in the remaining time,

= $$\frac{3}{(\frac{1}{4})} = 12$$ km/h

Hence, option A is the correct answer.

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