A man covers half of his journey at $6$ km/hr and the remaining half at $3$ km/hr. His average speed is

3

km/hr

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4

km/hr

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4.5

km/hr

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9

km/hr

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Solution

The correct option is C $4$ km/hr
Let the total distance be $2 x$ km.
Then,
Time taken $= \frac{x}{6} + \frac{x}{3} = \frac{3 x}{6} = \frac{x}{2} h o u r s$

$∴ Average speed = \frac{Total distance}{time taken} = \frac{2 x}{\frac{x}{2}} k m / h r$
$= 4 k m / h r .$

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