How many crew days would it take to install 1,500 sq yd of carpet if a two-person crew can install 500 sq yd/day?

To determine the number of crew days required to install 1,500 square yards of carpet with a two-person crew that can install 500 square yards per day, we start by calculating the total number of days needed for the crew to complete the installation.

First, we find out how many total days it takes for the crew to install 1,500 square yards. Given that the crew can install 500 square yards in one day:

1. Calculate total days needed for the installation:

[

\text{Total Days} = \frac{\text{Total Area}}{\text{Area per Day}} = \frac{1,500 \text{ sq yd}}{500 \text{ sq yd/day}} = 3 \text{ days}

]

Since a two-person crew can efficiently work together, the calculation indicates that it would take three full days to complete the installation of 1,500 square yards of carpet.

Thus, the answer is three days. This understanding emphasizes how work capacity is determined by both the size of the crew and their daily output, which is essential in project management and resource allocation within construction settings.