You take 4 hours to put together 32 units. How many hours would it take you to put together 56 units?7 hours8 hours14 hours24 hours

1. Break Down the Problem

To determine how long it would take to put together 56 units, we need to find the rate of production per hour and then calculate the time for 56 units based on that rate.

2. Relevant Concepts

The rate of production can be calculated as follows: $\text{Rate} = \frac{\text{Total units}}{\text{Total time in hours}}$ We have $32$ units produced in $4$ hours.

3. Analysis and Detail

1. Calculate the Rate of Production: $\text{Rate} = \frac{32 \text{ units}}{4 \text{ hours}} = 8 \text{ units per hour}$

2. Calculate Time for 56 Units: To find out how many hours ($T$) it will take to produce 56 units, we can use the formula: $T = \frac{\text{Total units}}{\text{Rate}} = \frac{56 \text{ units}}{8 \text{ units/hour}}$ Carrying out the calculation: $T = 7 \text{ hours}$

4. Verify and Summarize

The calculations indicate that at a rate of 8 units per hour, it will indeed take 7 hours to produce 56 units.

Final Answer

It would take you 7 hours to put together 56 units.