Question

Genesis can build a fence in 3 hours, while Saige can do it in 2 hours. How much of the fence can Genesis build in 1 minute, and how much can Saige build in 1 minute?

Answer 1

To find out how much of the fence each person can build in 1 minute, we first need to determine their individual rates of work in terms of fences per hour.

**Genesis's rate:**
Genesis can build a fence in 3 hours:
\[
\text{Rate of Genesis} = \frac{1 \text{ fence}}{3 \text{ hours}} \approx 0.3333 \text{ fences per hour}
\]

**Saige's rate:**
Saige can build a fence in 2 hours:
\[
\text{Rate of Saige} = \frac{1 \text{ fence}}{2 \text{ hours}} = 0.5 \text{ fences per hour}
\]

Next, we convert their rates from fences per hour to fences per minute, since there are 60 minutes in an hour.

**For Genesis:**
\[
\text{Rate of Genesis in fences per minute} = \frac{0.3333 \text{ fences per hour}}{60 \text{ minutes per hour}} \approx \frac{1}{180} \text{ fences per minute} \approx 0.00556 \text{ fences per minute}
\]

**For Saige:**
\[
\text{Rate of Saige in fences per minute} = \frac{0.5 \text{ fences per hour}}{60 \text{ minutes per hour}} = \frac{1}{120} \text{ fences per minute} \approx 0.00833 \text{ fences per minute}
\]

**Final Answer:**
- Genesis can build approximately \(0.00556\) of the fence in 1 minute.
- Saige can build approximately \(0.00833\) of the fence in 1 minute.