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A body covers half of the distance with a speed of $20 m / s$ and the other half with $30 m / s$ . The average speed of the body during the whole journey is?

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Detailed Solution

The average speed of the body during the whole journey is

24 m / s .

Let total distance be

2 x

Speed

S_{1} = 20 m / s

Speed

S_{2} = 30 m /

s
Average velocity of the body to cover the whole distance,

V = \frac{2 S_{1} S_{2}}{S_{1} + S_{2}}

= \frac{2 \times 20 \times 30}{20 + 30}

Average velocity,

v = 24 m / s

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