Question 110413
Let x= amount of time it takes Cal working alone

Now we know that Gina sprays the orchard at the rate of 1/12 orchard per hour, right?

Both working together sprays the orchard at the rate of 1/8 orchard per hour

And we know that Cal sprays the orchard at 1/x orchard per hour.  So our equation to solve is:

(1/12)+(1/x)=(1/8)  multiply each term by 24x to get rid of fractions

2x+24=3x  subtract 2x from both sides

2x-2x+24=3x-2x collect like terms

24=x or
x=24 hrs----------------------amount of time for Cal working alone

CK

(1/12)+(1/24)=1/8
(2/24)+(1/24)=1/8

3/24=1/8
1/8=1/8


Hope this helps---ptaylor