A boy walks to his school at a distance of

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A boy walks to his school at a distance of $6\, km$ with constant speed of $2.5\, km/hour $ and walks back with a constant speed of $4 \,km/hr.$ His average speed for round trip expressed in $km/hour$, is

A

$24/13$

B

$40/13$

C

$3$

D

$1/2$

A boy walks to his school at a distance of $6\, km$ with constant speed of $2.5\, km/hour $ and walks back with a constant speed of $4 \,km/hr.$ His average speed for round trip expressed in $km/hour$, is

Distance average speed $ = \frac{{2{v_1}{v_2}}}{{{v_1} + {v_2}}}$$ = \frac{{2 \times 2.5 \times 4}}{{2.5 + 4}}$
$ = \frac{{200}}{{65}} = \frac{{40}}{{13}}km/hr$