To determine how long it will take to clean all 17 cages, we can first figure out the cleaning rate per hour.
Given that it takes 1 hour to clean 4 cages, we can establish the following:
- Rate of cleaning = 4 cages/hour
Now, to find the total time required to clean all 17 cages, we can use the formula:
\[ \text{Time} = \frac{\text{Total cages}}{\text{Cages cleaned per hour}} \]
Plugging in the numbers:
\[ \text{Time} = \frac{17 \text{ cages}}{4 \text{ cages/hour}} = 4.25 \text{ hours} \]
Therefore, it will take 4.25 hours to clean all the cages.
Thus, the final answer is:
It will take 4.25 hours to clean all the cages.