Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
Answer:
The equation: [tex]\displaystyle\frac{1}{10} +\frac{1}{x} =\frac{1}{6}[/tex]
Sun requires 15 h to build a fence.
Step-by-step explanation:
We can find the hours Sun requires to build a fence by this way:
Given:
- Arturo takes 10 h to build a fence → means for 1 h, Arturo can build [tex]\displaystyle\bf\frac{1}{10}[/tex] fence
- Sun and Arturo take 6 h to build a fence → means for 1 h, Sun and Arturo can build [tex]\displaystyle\bf\frac{1}{6}[/tex] fence.
- Sun takes [tex]x[/tex] h to build a fence → means for 1 h, Arturo can build [tex]\displaystyle\bf\frac{1}{x}[/tex] fence
Therefore, for 1 h, Sun and Arturo can build:
[tex]\displaystyle\frac{1}{10} +\frac{1}{x} =\frac{1}{6}[/tex]
[tex]\displaystyle\frac{x+10}{10x} =\frac{1}{6}[/tex]
[tex]6(x+10)=10x[/tex]
[tex]6x+60=10x[/tex]
[tex]10x-6x=60[/tex]
[tex]x=60\div4[/tex]
[tex]\bf x=15\ h[/tex]
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.
