Question
A factory produces 240 units of a product in 8 hours. Express the production rate as a rational number of units
per hour. Then, determine how long it would take to produce 90 unit
per hour. Then, determine how long it would take to produce 90 unit
Answers
GPT-4o mini
To determine the production rate, we first need to calculate how many units are produced per hour.
Given that the factory produces 240 units in 8 hours, we can find the production rate as follows:
\[
\text{Production rate} = \frac{\text{Total units}}{\text{Total hours}} = \frac{240 \text{ units}}{8 \text{ hours}} = 30 \text{ units/hour}
\]
Next, to find out how long it would take to produce 90 units at that production rate, we can set up the following equation:
\[
\text{Time (hours)} = \frac{\text{Total units to produce}}{\text{Production rate}} = \frac{90 \text{ units}}{30 \text{ units/hour}} = 3 \text{ hours}
\]
Thus, it would take **3 hours** to produce 90 units at the given production rate.
Given that the factory produces 240 units in 8 hours, we can find the production rate as follows:
\[
\text{Production rate} = \frac{\text{Total units}}{\text{Total hours}} = \frac{240 \text{ units}}{8 \text{ hours}} = 30 \text{ units/hour}
\]
Next, to find out how long it would take to produce 90 units at that production rate, we can set up the following equation:
\[
\text{Time (hours)} = \frac{\text{Total units to produce}}{\text{Production rate}} = \frac{90 \text{ units}}{30 \text{ units/hour}} = 3 \text{ hours}
\]
Thus, it would take **3 hours** to produce 90 units at the given production rate.