SOLUTION: Suppose Carlo and Jordan can do the project together in 4 days. If Carlo can finish the project alone in 6 days, how long will it take Jordan to do the project if he works alone?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Suppose Carlo and Jordan can do the project together in 4 days. If Carlo can finish the project alone in 6 days, how long will it take Jordan to do the project if he works alone?       Log On


   

Question 926486: Suppose Carlo and Jordan can do the project together in 4 days. If Carlo can finish the project alone in 6 days, how long will it take Jordan to do the project if he works alone?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
This is a common word problem. You are told Carlo can do the job in 6 days. So Carlo can do 1%2F6 of the job in a day.
You do not know what Jordan can do, but let's say that Jordan can do the job in X days. So Jordan can do 1%2FX in a day.
Together, the can do the job in 4 days. So they can do 1%2F4 of the job in a day .
%281%2F6%29+%2B+%281%2FX%29+=+1%2F4
+1%2FX+=+%281%2F4%29+-+%281%2F6%29
1%2FX+=+6%2F24+-+4%2F24
1%2FX+=+2%2F24
1%2FX+=+1%2F12
X=12
Jordan will take 12 days working alone