Answer
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,
[tex]\frac{1}{3}[/tex]• Carol can do 1/4 of the job per hour,
[tex]\frac{1}{4}[/tex]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:
[tex]\frac{1}{3}+\frac{1}{4}=\frac{4+3}{12}=\frac{7}{12}[/tex]Then, they can do 7/12 per hour