Question

A cabinet maker can build a kitchen island in 10 hours.
If the cabinet maker's apprentice helps, they can construct the kitchen island in 7 hours.
How long would it take apprentice to complete a kitchen island alone?

Answer 1

Applying the rates, it is found that it would take the apprentice 23.3 hours to complete a kitchen island alone.

To solve this question, we consider that the together rate is the sum of each separate rate. We have that:

• The cabinet's rate is 1/10.
• The together rate is 1/7.
• The apprentice rate is 1/x.

Then:

$\frac{1}{7} = \frac{1}{10} + \frac{1}{x}$

$\frac{x + 10}{10x} = \frac{1}{7}$

$10x = 7x + 70$

$3x = 70$

$x = \frac{70}{3}$

$x = 23.3$

It would take the apprentice 23.3 hours to complete a kitchen island alone.

A similar problem is given at https://brainly.com/question/16646327