Question : A car has to cover a distance of 288 km in 20 hours. If it covers half of the journey in $\frac{1}{5}$th of the time, find the speed to cover the remaining distance in the time left.
Option 1: 6 km/hr
Option 2: 7 km/hr
Option 3: 9 km/hr
Option 4: 8 km/hr
Correct Answer: 9 km/hr
Solution :
A car has to cover a distance of 288 km in 20 hours.
It covers half of the journey in $\frac{1}{5}$th of the time.
So it covers $\frac{288}{2}=144$ km in $20×\frac{1}{5}=4$ hours
Required speed $=\frac{144}{20-4}=\frac{144}{16}=9$ km/hr
Hence, the correct answer is 9 km/hr.
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