Pregunta
17. If 6 gardeners can mow a lawn in 2 hours, how many gardeners can mow the same lawn in 3 hours?
Ask by Savage Donnelly. in South Africa
Feb 03,2025
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4 gardeners are needed to mow the lawn in 3 hours.
Solución
To determine how many gardeners are needed to mow the same lawn in 3 hours, we can use the concept of **work rate**. Here's a step-by-step explanation:
1. **Understand the Initial Work Rate:**
- **6 gardeners** can mow the lawn in **2 hours**.
- **Total Work** = Number of Gardeners × Time = 6 gardeners × 2 hours = **12 gardener-hours**.
2. **Determine the Required Number of Gardeners for 3 Hours:**
- Let **x** be the number of gardeners needed to mow the lawn in **3 hours**.
- Using the same total work:
\[
x \text{ gardeners} \times 3 \text{ hours} = 12 \text{ gardener-hours}
\]
- Solve for **x**:
\[
x = \frac{12 \text{ gardener-hours}}{3 \text{ hours}} = 4 \text{ gardeners}
\]
**Answer:**
4 gardeners are needed to mow the lawn in 3 hours.
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Simplifique esta solución The Deep Dive
Let's break it down! If 6 gardeners can mow the lawn in 2 hours, that means they can collectively complete the job at a rate of \(\frac{1}{2}\) of the lawn per hour. To find out how many gardeners are needed to finish the job in 3 hours, we first determine how much of the lawn needs to be mowed per hour: \(\frac{1}{3}\) of the lawn. Since 6 gardeners can do \(\frac{1}{2}\) of the lawn in an hour, it takes them about 1.5 hours to do \(\frac{1}{3}\) of the lawn. Therefore, to mow the entire lawn in 3 hours, you would need 4 gardeners. So, 4 gardeners can mow the same lawn in 3 hours!
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