A particle travels one fourth of the distance constant speed of 5 m/s and remaining distance the constant speed of 18 m/s. What is the average speed of the car?

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11.5 m/s

10.9 m/s

15 m/s

10 m/s

answer is B.

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Detailed Solution

$Average speed = \frac{x}{t_{1} + t_{2}} = \frac{x}{\frac{x}{4 \times 5} + \frac{3 x}{4 \times 18}} = \frac{1}{\frac{1}{20} + \frac{1}{24}} = \frac{24 \times 20}{20 + 24} = \frac{480}{44} = 10 .9 m / s$

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