on a journey across delhi, a taxi average 30 kmph for 60% of the distance, 20

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Question

on a journey across delhi, a taxi average 30 kmph for 60% of the distance, 20 kmph for 20% of it and 10 kmph for the remainder, the average speed for the whole journey is ?

Options:

A . 5 km/hr

B . 10 km/hr

C . 15km/hr

D . 20 km/hr

Answer: Option D
Explanation :

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1 Comments

Kashi 2022-12-12 12:15:28

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Let total journey = y km
Total time taken = time taken during 60% of distance + time taken during 20% of distance + time taken in remaining distance
= [( 60y / 100 ) / 30] + [( 20y / 100 ) / 20] + [( 20y / 100 ) / 10]
= ( y / 50 + y / 100 + y / 50 )hrs
= y/20 hours.

Average speed = total distance traveled / total time taken.
= [y / ( y/20 )] km/hr
=20 km/hr.

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