Speed of clock

In how many minutes will the hour hand pass a straight angle and a right angle?

Correct answer:

a =  360 min
b =  180 min

Step-by-step explanation:

$$\begin{gathered} v=360\mathrm{/}(12\cdot 60)={\displaystyle \frac{1}{2}}=0.5 \\ a=180\mathrm{/}v=180\mathrm{/}0.5=360\text{ min} \end{gathered}$$

$b=90\mathrm{/}v=90\mathrm{/}0.5=180\text{ min}$

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