SOLUTION: working alone, Wade can paint a certain room in 9 hours. Phil, working alone, can paint the same room in 10 hours. How long will it take Wade and Phil to paint the room if they wor

Algebra ->  Rate-of-work-word-problems -> SOLUTION: working alone, Wade can paint a certain room in 9 hours. Phil, working alone, can paint the same room in 10 hours. How long will it take Wade and Phil to paint the room if they wor      Log On


   



Question 736450: working alone, Wade can paint a certain room in 9 hours. Phil, working alone, can paint the same room in 10 hours. How long will it take Wade and Phil to paint the room if they work together?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of working
( 1 room / 9 hrs ) + ( 1 room / 10 hrs ) = 1 room / t hrs
+1%2F9+%2B+1%2F10+=+1+%2Ft+
Multiply both sides by +90t+
+10t+%2B+9t+=+90+
+19t+=+90+
+t+=+4.737+
+.737%2A60+=+44+
Working together, it takes them 4 hrs and 44 min