SOLUTION: pat has been assigned the job of picking apples from the family orchard.he could do the job alone in 8 hours. he knows that his sister patti,could do the job in 7 hours.he begs her

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: pat has been assigned the job of picking apples from the family orchard.he could do the job alone in 8 hours. he knows that his sister patti,could do the job in 7 hours.he begs her      Log On


   



Question 322359: pat has been assigned the job of picking apples from the family orchard.he could do the job alone in 8 hours. he knows that his sister patti,could do the job in 7 hours.he begs her to help,and she agrees.how long will both of them take to pick the apples? round your answer to the nearest tenth
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Output
.
.
.
Let Z be the total output of the orchard.
Let Rp be Pat's rate,
Rp%2A8=Z
Rp=Z%2F8
Let Ri be Patti's rate,
Ri%2A7=Z
Ri=Z%2F7
.
.
.
%28Rp%2BRi%29T=Z
%28Z%2F8%2BZ%2F7%29T=Z <--- Divide both sides by Z
%287%2F56%2B8%2F56%29T=1
%2813%2F56%29T=1
T=56%2F13
T=4.3hours