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Janet, an experienced shipping clerk, can fill a certain order in 14 hours. Jim, a new clerk, needs 15 hours to do the same job. Working together, how long will it take them to fill the order?

Respuesta :

Answer:

7.24 hrs

Step-by-step explanation:

Janet can do the order in 14 hours.

In 1 hour, she can do 1/14 of the order.

Jim can do the order in 15 hours.

In 1 hour, he can do 1/15 of the order.

Let the total amount of time they take to do the job working together be x hours.

[tex]\frac{1}{14} x+\frac{1}{15}x =1[/tex]

[tex]\frac{29}{210} x=1[/tex]

[tex]\frac{210}{29}* \frac{29}{210} x=1*\frac{210}{29}[/tex]

[tex]x= 7.241379...[/tex]