Question

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.)

Answer 1

Lisa takes 5 hours

Tom takes 8 hours

Working togheter it takes

`(1)/(5)+(1)/(8)=(1)/(x)`

solving for x

`(8+5)/(40)=(1)/(x)`
`(13)/(40)=(1)/(x)`
`13x=40`
`x=(40)/(13)`
`x=(40)/(13)=3.076`

then working togheter ut would take

40/13 hours