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mr_godi [17]
3 years ago
7

David can paint a fence in ten hours. Alex can paint the same fence in eight hours. If

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
3 0

Answer:

40/9

Step-by-step explanation:

Use the work formula, \frac{1}{A} + \frac{1}{B} = \frac{1}{T}, where A is the amount of time it takes one person, B is the amount of time it takes another person, and T is the time it takes for them to work together.

Plug in the times for David and Alex alone:

\frac{1}{10} + \frac{1}{8} = \frac{1}{T}

Find the least common denominator, which is 40.

\frac{4}{40} + \frac{5}{40} = \frac{1}{T}

\frac{9}{40} = \frac{1}{T}

Cross multiply and solve for T:

9T = 40

T = 40/9

So, if they worked together, it would take them 40/9 hours

Nostrana [21]3 years ago
3 0

Answer:

40/9

Step-by-step explanation:

just helped my sister with this question.

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