Question
Applications of rational functions. 1. B & C Fencing has been contracted to build a cedar fence. It would take Monice 5 days to build the fence. It would take Mike 4 days to build the fence. If the company sends both Monice and Mike to work together to build the fence, how long will it take them to complete
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Answer to a math question Applications of rational functions. 1. B & C Fencing has been contracted to build a cedar fence. It would take Monice 5 days to build the fence. It would take Mike 4 days to build the fence. If the company sends both Monice and Mike to work together to build the fence, how long will it take them to complete
Santino
4.5112 Answers
1. Determine individual rates of work:
\text{Monice's rate} = \frac{1}{5} \text{ fence per day}
\text{Mike's rate} = \frac{1}{4} \text{ fence per day}
2. Combine rates of work:
\frac{1}{T} = \frac{1}{5} + \frac{1}{4}
\frac{1}{T} = \frac{4}{20} + \frac{5}{20}
\frac{1}{T} = \frac{9}{20}
3. Solve for \( T \):
T = \frac{20}{9}
4. Simplify to a mixed number:
T = 2 \, \frac{2}{9} \text{ days}
5. Approximate value:
T \approx 2.22 \text{ days}
The answer is: T = 2 \, \frac{2}{9} \text{ days}
2. Combine rates of work:
3. Solve for \( T \):
4. Simplify to a mixed number:
5. Approximate value:
The answer is:
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