roblem 5 onsider the problem: It takes one week for a crew of workers to pave \( \frac{3}{5} \) kilometer of a At that rate, how long will it take to pave 1 kilometer? te a multiplication equation and a division equation to represent the question. Then the answer and show your reasoning.

To determine how long it takes to pave 1 kilometer, we can first find the rate of paving per week. Since it takes one week to pave \( \frac{3}{5} \) kilometer, the rate is: 1 week = \( \frac{3}{5} \) kilometer. Now, to find out how long it takes to pave 1 kilometer, we need to set up a multiplication equation. If we let \( x \) represent the number of weeks it takes to pave 1 kilometer, we can write: \[ x \cdot \frac{3}{5} = 1 \] To find \( x \), we can rearrange the equation: \[ x = 1 \div \frac{3}{5} = 1 \cdot \frac{5}{3} = \frac{5}{3} \text{ weeks} \] Thus, it will take \( \frac{5}{3} \) weeks, which is equivalent to 1 week and 2 days, to pave 1 kilometer. Now, it’s important to make sure to convert measurements properly when calculating paving times to avoid the common mistake of misestimating the scaling factor based on the distance!