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RSB [31]
3 years ago
12

Mary can make a costume twice as fast as Sam

Mathematics
1 answer:
nikitadnepr [17]3 years ago
4 0

Answer:

If she works alone, it will take Mary 9 hours to make the costume.

Step-by-step explanation:

The together rate is the sum of each separate rate.

In this problem:

Together rate: 1/6

Sam's rate: 1/x

Mary is twice as fast as Sam, so her rate is 2/x.

Then

\frac{1}{x} + \frac{2}{x} = \frac{1}{6}

\frac{3}{x} = \frac{1}{6}

x = 3*6

x = 18

Mary's rate

2/x = 2/18 = 1/9

If she works alone, it will take Mary 9 hours to make the costume.

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