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Question

If a car covers 2/5th of the total distance with v1 speed and 3/5th distance with v2 speed then, average speed is

A
2v1v2v1+v2
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B
5v1v23v1+2v2
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C
12v1v2
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D
v1+v22
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Solution

The correct option is B 5v1v23v1+2v2
Let total distance travelled by the car is x
So, as per the question, total time taken by the car to cover the whole distance is
t=2x/5v1+3x/5v2
Thus, average speed of the car is given by
xt=x2x/5v1+3x/5v2=5v1v23v1+2v2

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