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Application of Average Speed in Everyday Life

A car travels...

Question

A car travels 120 km from A to B at 30 km per hour but returns the same distance at 40 km per hour. The average speed for the round trip is closest to:

A

33 km/hr

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B

34 km/hr

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C

35 km/hr

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D

36 km /hr

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E

37 km/hr

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Solution

The correct option is B 34 km/hr
If a car travels a distance d at rate $r_{1}$ and returns the same distance at rate $r_{2}$ , then
Average speed = $\frac{t o t a l d i s t a n c e}{t o t a l t i m e} = \frac{2 d}{d / r_{1} + d / r_{2}} = \frac{2 r_{1} r_{2}}{r_{1} + r_{2}}$ ;
$∴ x = \frac{2.30.40}{70} = \frac{240}{7} 34 k m / h r$ .

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