Themselves 64094

The wall clock strikes every full hour, as many strikes as there are hours. The pauses between punches last as long as the punches themselves. At 6:00, exactly 22 seconds passed from the beginning of the first stroke to the end of the last stroke. How long will the clock strike at 12:00?

Correct answer:

t₁₂ =  46 s

Step-by-step explanation:

$$\begin{gathered} t_6=22\text{s} \\ {t}_6=6\cdot u+5\cdot u=11u \\ u=t_6/11=22/11=2\text{s} \\ {t}_{12}=12\cdot u+11\cdot u=12\cdot 2+11\cdot 2=46\text{s} \end{gathered}$$

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