To determine the time required for the clock to strike 5 times, we first need to understand the time intervals involved when the clock strikes.
When the clock strikes 14 times, it will have 13 intervals between the strikes. If it takes 26 seconds to strike 14 times, we can calculate the time per interval:
\[ \text{Time per interval} = \frac{26 \text{ seconds}}{13 \text{ intervals}} = 2 \text{ seconds per interval} \]
Now, if we want to find out how long it takes to strike 5 times, there will be 4 intervals between the strikes (since there are always one fewer interval than the number of strikes). Therefore, we can calculate the time required for 4 intervals:
\[ \text{Time to strike 5 times} = 4 \text{ intervals} \times 2 \text{ seconds per interval} = 8 \text{ seconds} \]
Thus, the time required for the clock to strike 5 times is 8 seconds.
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