Jo and Bo are opening a fast food chain called Jobangles. Now together they can make a day's worth of fries in 3.2 hours. If it takes Jo 5 hours to make a day's worth of fries alone, then how long will it take Bo to make a day's worth of fries alone?

Bo =6.4 hours

Step-by-step explanation:

"Jo and Bo are opening a fast food chain called Jobangles. Now together they can make a day's worth of fries in 3.2 hours. If it takes Jo 5 hours to make a day's worth of fries alone, then how long will it take Bo to make a day's worth of fries alone?"

we want to find Bo's hourly rate given the combined work rate for the both of them

given that both combined rate= 3.2hours

Jo takes 5 hours

the expression for combined work rate is

let Jo be J

and Bo be B

1/J+1/B=1/T

J+B/JB=1/3.2

5+B/JB=1/3.2

cross multiply we have

3.2(5+B)=5B

16+3.5B=5B

16=5B-3.5B

16=2.5B

B=16/2.5

B=26.4