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
243
likes1214 views
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:
Frequently asked questions (FAQs)
What is the median of a set of numbers: 45, 36, 27, 18, 80, 65, 92?
+
Math Question: Find the length of the hypotenuse in a right triangle with legs measuring 5 cm and 12 cm.
+
Math question: Find the third derivative of f(x) = 2x^3 + 5x^2 - 4x + 7.
+
New questions in Mathematics