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Bob can paint a fence in 5 hours, and working with Jen, the two of them painted a fence in 2 hours. How long would it have taken Jen to paint the fence alone?

Respuesta :

Answer:[tex]\frac{10}{3}[/tex]

 

Step-by-step explanation:

Given

Bob can Paint a fence in 5 hr

so full job can be done in 5 hr

in 1 hr [tex]\frac{1}{5}[/tex] job is done

suppose Jen done the work in x hr

so in 1 hr [tex]\frac{1}{x}[/tex] part of job is done

Also if they combine they can do the job in 2 hr

so in 1 hr [tex]\frac{1}{2}[/tex]

so [tex]\frac{1}{5}+\frac{1}{x}=\frac{1}{2}[/tex]

[tex]\frac{1}{x}=\frac{1}{2}-\frac{1}{5}[/tex]

[tex]\frac{1}{x}=\frac{5-2}{10}[/tex]

[tex]x=\frac{10}{3} hr[/tex]

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