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Bogdan [553]
3 years ago
11

A cabinet maker can build a kitchen island in 10 hours.

Mathematics
1 answer:
Tems11 [23]3 years ago
4 0

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 <u>sum of each separate rate</u>. 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 brainly.com/question/16646327

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