A man covers first 20 \% of the distance at 10 {km}{/} {h}, next 50 \% at 5 {km} {/} {h} and the remaining distance at 15 {km}{/} {h}. Find his average speed.

BA LLB Banaras Hindu University 2019 Solved Paper

Question : 118 of 170

Marks: +1, -0

A man covers first

20 \%

of the distance at

10 {km}{/} {h}

, next

50 \%

5 {km} {/} {h}

and the remaining distance at

15 {km}{/} {h}

. Find his average speed.

Solution:

Let the total distance be x km, then average speed

=\;{\;\text " Total Distance "\;}/{\;\text " Total Time "\;}

=\;{x}/{{x}/{5 × 10}+\;{x}/{2 × 5}+\;{3 x}/{10 × 15}}

=\;{150 x}/{21 x}=7.14 {km} {/} {h}

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