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Question

# A car moves from A to B with a speed of 30kmph and from B to A with a speed of 20kmph. What is the average speed of the car?

A
25kmph
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B
24kmph
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C
50kmph
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D
10kmph
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Solution

## The correct option is D 24kmphThe average speed of any moving body is total distance traveled by the body divided by the total time taken to cover that distance.Let the distance between A to B be x.Journey from A to B :Time taken t1=DistanceSpeed=x30 hJourney from B to A :Time taken t2=DistanceSpeed=x20 hTotal distance covered in whole journey S′=2xTotal time taken t′=t1+t2Average speed vavg=S′t′∴ vavg=2xx30+x20=2×20×3020+30=24 kmph

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