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time and distance (self doubts)

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A boy ride his bicycle of 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of  10 km/hr his average speed for the entire trip is approx.

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$\boxed{\text{Average speed} = \frac{\text{Total distance covered}}{\text{Total time taken}}}$

Total distance covered $= 10+12 = 22 \; \text{km}$

Total time taken $= \frac{10}{12} + \frac{12}{10} = .83 + 1.2 = 2.03$

$\therefore$ Average speed $= \frac{22}{2.03} = 10.83 \; \text{km/hr}$
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