# A motorcycle drives from place AtoB with a uniform speed of 30 km/h and returns from place BtoA with a uniform speed of 20km/h find his average speed.

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by idolevvarah

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by idolevvarah

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While, travelling from B to A the motorcycle will cover the same distance.

Time taken from A to B=distance/speed

=x/30 h

Time taken from B to A=distance/speed

=x/20 h

Average speed = Total distance covered/Total time taken

=(x+x)/(x/20+x/30)

2x/x(1/20+1/30)

2/{(3+2)/60}

2/(5/60)

2*12=24 km/h