Question

When Jacob works alone, he takes 6 hours to remove the weeds. When Steven works alone, he takes 12 hours to remove the weeds. How many hours will it take them to remove all the weeds if they work together?

Answer 1

Using the together rate, it is found that it will take them 4 hours to remove all the weeds if they work together.

What is the together rate?

The together rate is given by the sum of each separate rate.

In this problem, the rates are as follows:

• Together: 1/x.

• Jacob's: 1/6.

• Steven's: 1/12.

Hence:

$\frac{1}{x} = \frac{1}{6} + \frac{1}{12}$

$\frac{1}{x} = \frac{2 + 1}{12}$

3x = 12

x = 12/3

x = 4.

It will take them 4 hours to remove all the weeds if they work together.

More can be learned about the together rate at https://brainly.com/question/25159431

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