SOLUTION: "A carpenter can build a certain type of patio to cover in 6 hours. his partner takes 8 hours to build the same cover. How long would it take them working together to build this pa

Algebra ->  Rate-of-work-word-problems -> SOLUTION: "A carpenter can build a certain type of patio to cover in 6 hours. his partner takes 8 hours to build the same cover. How long would it take them working together to build this pa      Log On


   



Question 737597: "A carpenter can build a certain type of patio to cover in 6 hours. his partner takes 8 hours to build the same cover. How long would it take them working together to build this patio?"
I've put the info in a chart and got the equasion
(x/6)+(x/8)=1
but I'm not really sure what else i need to do.
thanks

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
ok, we have the following equation to solve for x
(x/6)+(x/8)=1
multiply both sides of the = with 24 (denominator with factors 6 and 8)
4x + 3x = 24 and 7x = 24
x = 3 and 3/7 hours to complete the job with both working together