A person sets to cover a distance of 12 km in 45 minutes If he covers 3 4 of the distance in 2 3rd t...........

Quantitative Aptitude ( CCS) Time & distance

A person sets to cover a distance of 12 km in 45 minutes. If he covers 3/4 of the distance in 2/3rd time, what should be his speed to cover the remaining distance in the remaining time?

16 km/hr

8 km/hr

12 km/hr

14 km/hr

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Explanation:

The person needs to cover 6 km in 45 minutes
Given that he covers one-half of the distance in two-thirds of the total time
⇒ he covers half of 6 km in two-thirds of 45 minutes
⇒ He covers 3 km in 30 minutes
Now he needs to cover the remaining 3 km in remaining 15 minutes
Distance =3 km
Time =15 minutes =1/4 hour
Required Speed =3(1/4) = 12 km/hr