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Leno4ka [110]
1 year ago
10

Josephine can correct her students' test papers in 9 hours, but if her teacher's assistant helps, it would take them 7 hours. Ho

w long, in hours and minutes, would it take the assistant to do it alone? (Write your answer in mixed units. Enter a zero in any unneeded blanks.)
Mathematics
1 answer:
kirill [66]1 year ago
7 0

Using the together rate, it is found that it would take the assistant 31 hours and 30 minutes to do it alone.

<h3>What is the together rate?</h3>

It is the sum of each separate rate.

In this problem, the rates are given as follows:

  • Josephine: 1/9.
  • Assistant: 1/x.
  • Together: 1/7.

Hence:

\frac{1}{9} + \frac{1}{x} = \frac{1}{7}

\frac{x + 9}{9x} = \frac{1}{7}

9x = 7x + 63

2x = 63

x = 31.5.

It would take the assistant 31 hours and 30 minutes to do it alone.

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

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Another way to write that relationship is xy = k.  To find the value of k for this problem, you need a numbers for x and y that go together.

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