Question

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?

Answer 1

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

Step-by-step explanation:

Let h be the required number of hours. Then

`\begin{gathered} (1)/(h)=(1)/(2)+(1)/(5) \\ =(7)/(10) \\ h=(10)/(7)\approx1.429 \end{gathered}`

1.429 hours will require them to fill the order.

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