We appreciate your visit to By himself a person can mow his lawn in 80 minutes If his daughter helps they can mow the lawn together in 60 minutes How. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The father mows the lawn in 80 min.
The father and the daughter mow the lawn in 60 min.
Let "x" represent the time it takes the daughter to mow the lawn by herself.
Express both times as rates:
The dad's mow rate is:
[tex]\frac{1\text{lawn}}{80\min }[/tex]Combined mow rate:
[tex]\begin{gathered} \frac{1\text{lawn}}{80\min}+\frac{1\text{lawn}}{x}=\frac{1\text{lawn}}{60\min } \\ \frac{1}{80}+\frac{1}{x}=\frac{1}{60} \end{gathered}[/tex]From this expression you can determine the value of x:
- Subtract 1/80 to both sides of the expression
[tex]\begin{gathered} \frac{1}{80}-\frac{1}{80}+\frac{1}{x}=\frac{1}{60}-\frac{1}{80} \\ \frac{1}{x}=\frac{1}{240} \end{gathered}[/tex]-Raise both sides by -1 to invert the fractions:
[tex]\begin{gathered} (\frac{1}{x})^{-1}=(\frac{1}{240})^{-1} \\ x=240 \end{gathered}[/tex]It will take her 240 minutes to mow the lawn by herself.
Thanks for taking the time to read By himself a person can mow his lawn in 80 minutes If his daughter helps they can mow the lawn together in 60 minutes How. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
