An object travel $10 k m$ at a speed of $100 m / s$ and another $10 k m$ at $50 m / s$ . The average speed over the whole distance is

75 m / s

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55 m / s

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66.7 m / s

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33.3 m / s

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Solution

The correct option is B $66.7 m / s$
Time for first 10 km,
$t_{1} = \frac{10 \times 10^{3}}{100} = 100 s e c .$
Time for last 10 km,
$t_{2} = \frac{10 \times 10^{3}}{50} = 200 s e c .$
Total time $= 100 + 200 = 300 s e c .$
Total distance, $= 10 + 10 = 20 k m$
Average speed $= \frac{20000}{300} = 66.7 m / s$

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