Janet, an experienced shipping clerk, can fill a certain order in 2 hours. Tom, a new clerk, needs 5 hours to do the same job. Working together, how long will it take them to fill the order?

Respuesta :

Given:

Number of hours required for Janet to fill a certain order = 2

Number of hours required for Tom to fill a certain order = 5

Required: Time required to fill the order if they work together

Explanation:

Let h be the required number of hours. Then

[tex]\begin{gathered} \frac{1}{h}=\frac{1}{2}+\frac{1}{5} \\ =\frac{7}{10} \\ h=\frac{10}{7}\approx1.429 \end{gathered}[/tex]

1.429 hours will require them to fill the order.

Final Answer: 1.429 hours will require them to fill the order.