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Question

An auto travels the first half time with a uniform speed 'a' and the next half time with a uniform speed 'b'. Find its average speed.

A
a+b2
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B
2ab
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C
ab2
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D
ab
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Solution

The correct option is A a+b2
Distance is given by the product of speed and time.

Let the total time of motion be T.
Distance moved in the first half time:
d1=aT/2
Distance moved in the first half time:
d2=bT/2
Total distance:
d=aT/2+bT/2
d=T2(a+b)

By formula of average speed:
vav=dT
vav=T2(a+b)T
vav=a+b2

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