A boy travelled from the home to the college at the rate of 25 kmph and walked back at the rate of 4...........

Quant (SSC) Time & distance

A boy travelled from the home to the college at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, Find the distance of the college from the home.

5 km

10 km

15 km

20 km

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Explanation:

Average speed = (2xy /x + y)km/hr
= (2 x 25 x 4 /25 + 4) km/hr
= 200/29 km/hr
Distance travelled in 5 hours 48 minutes i.e, 5 4/5 hrs
= (200/29 x 29/5)km = 40 km
So, Distance of the college from the home
=(40/2) = 20 km