There is an oval pond in the allotment.
The pond is to be filled in with soil.
The area is 21.98m2. If 3 people work together, it would take them 8 hours to fill in the pond.

How long would it take 5 people working at the same rate?



The time it takes to complete a task is inversely proportional to the number of people working on it, assuming all people work at the same rate.

Given:
- 3 people take 8 hours to fill in the pond.

To calculate how long it would take for 5 people working at the same rate, we can use the formula:

\[
\text{time with } n_2 \text{ people} = \frac{n_1 \times t_1}{n_2}
\]

Where:
- \( n_1 = 3 \) (number of people initially),
- \( t_1 = 8 \) hours (time for 3 people),
- \( n_2 = 5 \) (new number of people).

Substituting these values:

\[
\text{time with 5 people} = \frac{3 \times 8}{5} = \frac{24}{5} = 4.8 \text{ hours}.
\]

So, it would take 5 people approximately **4.8 hours** to fill in the pond.

Would you like more details or have any questions?

Here are some related questions:
1. What if 4 people worked together at the same rate?
2. How long would it take if 6 people worked on it?
3. What if 2 people worked together, how long would it take them?
4. How many people would be needed to complete the task in 3 hours?
5. How does the rate of work change if one person worked alone?

**Tip:** When the number of workers increases, the time to complete the task decreases proportionally.

There is an oval pond in the allotment. The pond is to be filled in with soil. The area is 21.98m². If 3 people work together, it would take them 8 hours to fill in the pond. How long would it take 5 people working at the same rate?

Find out how to calculate the time it would take for 5 people to fill a pond based on the work rate of 3 people taking 8 hours. This problem involves key concepts like proportions and work rate, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation