SOLUTION: Pam and Matt, working together, can paint the deck in 6 hours. Working alone, Matt takes twice as long as Pam. How long does it take Pam to paint the deck alone?

SOLUTION: Pam and Matt, working together, can paint the deck in 6 hours. Working alone, Matt takes twice as long as Pam. How long does it take Pam to paint the deck alone?

Algebra.Com

Question 1027045: Pam and Matt, working together, can paint the deck in 6 hours. Working alone, Matt takes twice as long as Pam. How long does it take Pam to paint the deck alone?
Answer by jorel555(1290) (Show Source): You can put this solution on YOUR website!
Let Pam and Matt be p and m. Then
6/p+6/m=1
Since m=2p, then
6/p+6/2p=1
12+6=2p
18=2p
p=9
2p=18
Pam can finish in 9 hours working alone, Matt can finish in 18 hours working alone!!!!!!!!!
RELATED QUESTIONS
Pam and Matt, working together, can weed the garden in 8 hours. Working alone, Matt takes (answered by mananth,MathTherapy,greenestamps)

pam and craig, working together, can mow the lawn in 8 hours. working alone craig takes... (answered by josgarithmetic)

Tom and Matt, working together, can paint the deck in 9 hours. Working alone, Matt takes... (answered by richwmiller)

Pam and John, working together, can mow the lawn in 2 hours. Working alone, John takes... (answered by josmiceli)

I'm not sure how to set this up to solve it: Pam and Shirley, working together, can... (answered by nyc_function,richwmiller)

Pam and Cindy, working together, can rake The yard in 5 hours. working alone, Cindy takes (answered by richwmiller)

Pam and Jena, working together, can weed the garden in 9 hours. Working alone, Jena takes (answered by Boreal)

Craig and Pam, working together, can mow the lawn in 9 hours. Working alone, Pam takes... (answered by stanbon,lwsshak3)

Tom and Matt working together can weed the garden in four hours. Working alone, Matt... (answered by ewatrrr)