A clock

A clock was set right at 6:00 AM. If it gains 3 1/2 minutes per hour, what time will it show at 6:00 PM on the same day? Show your solution

Result

t = 6:42 PM

Step-by-step explanation:

$$\begin{gathered} h={\displaystyle \frac{3+1\mathrm{/}2}{60}}={\displaystyle \frac{7}{120}}\doteq 0.0583 \\ t=6+12\cdot h=6+12\cdot 0.0583={\displaystyle \frac{67}{10}}=6.7=6:42\text{ PM} \end{gathered}$$

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