Question

Fay can prepare surgical equipment in 3 hours. Another nurse, Carol, can do it in 4 hours. How long will it take if they work together?

Answer 1

Step-by-step explanation

Given

• Fay can prepare surgical equipment in 3 hours.

,

• Carol, can do it in 4 hours.

,

• How long will it take if they work together?​

Procedure

If Fay can do the entire work in 3h, and Carol in 4h, then:

• Fay can do 1/3 of the job per hour,

`(1)/(3)`

• Carol can do 1/4 of the job per hour,

`(1)/(4)`

Thus, assuming that their labors are additive and they never get in each other's way, we can add together what they can do individually per hour:

`(1)/(3)+(1)/(4)=(4+3)/(12)=(7)/(12)`

Then, they can do 7/12 per hour