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elena55 [62]
3 years ago
7

It takes Natalie five hours to tar a roof. Imani can tar the same roof in ten hours. How long would it take them if they worked

together? Round your answer to the nearest hundredth. A. 3.51 hours B. 2.77 hours C. 3.33 hours D.4.3 hours
Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

Answer:

C. 3.33 hours

Step-by-step explanation:

Use the algebra work equation:

\frac{1}{tb} = \frac{1}{t1} + \frac{1}{t2}, where tb is the time to work together, t1 is the time it takes one person, and t2 is the time it takes the other person

Plug in the values we know:

\frac{1}{tb} = \frac{1}{5} + \frac{1}{10}

\frac{1}{tb} = \frac{4}{20} + \frac{2}{20}

\frac{1}{tb} = \frac{6}{20}

20 = 6tb

3.33 = tb

So, it would take them 3.33 hours when working together.

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