Bella cycles to her school at an average speed of 12 km/hr and takes 20 minutes to reach her school. If she wants to reach her school in 12 minutes, her average speed should be:

$\frac{20}{3}$ km/hr

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16 km/hr

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20 km/hr

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15 km/hr

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Solution

The correct option is C
20 km/hr

If the time taken decreases, then speed will increase. It is a case of inverse proportion.
$\begin{matrix} S p e e d o f c a r (k m / h r) & 12 & X T i m e t a k e n (m i n s) & 20 & 12 \end{matrix}$

Then, $12 \times \frac{20}{60} = x \times \frac{12}{60} x = 12 \times \frac{20}{60} \times \frac{60}{12} = 20 k m / h r$

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