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Lisa, an experienced shipping clerk, can fill a certain order in 5 hours. Tom, a new clerk, needs 8 hours to do the same job. Working together, how long will it take them to fill the order? The solution is ____ hours. (Simplify your answer. Type an integer or a fraction.)

Lisa an experienced shipping clerk can fill a certain order in 5 hours Tom a new clerk needs 8 hours to do the same job Working together how long will it take t class=


Answer :

Lisa takes 5 hours

Tom takes 8 hours

Working togheter it takes

[tex]\frac{1}{5}+\frac{1}{8}=\frac{1}{x}[/tex]

solving for x

[tex]\frac{8+5}{40}=\frac{1}{x}[/tex][tex]\frac{13}{40}=\frac{1}{x}[/tex][tex]13x=40[/tex][tex]x=\frac{40}{13}[/tex][tex]x=\frac{40}{13}=3.076[/tex]

then working togheter ut would take

40/13 hours

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