SOLUTION: Patrice, by himself, cant paint four rooms in 10 hours. If he hires April to help, they can do the same job together in 6 hours. If he lets April work alone, how long will it take

Question 908560: Patrice, by himself, cant paint four rooms in 10 hours. If he hires April to help, they can do the same job together in 6 hours. If he lets April work alone, how long will it take her to paint four rooms?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
rate for A alone 10
rate for A & B together 6
1/a+1/b=1/x
1/10+1/b=1/6
1/b=1/6-1/10
1/b=10/60-6/60
1/b=4/60
1/b=1/15
b=15
rate for B alone 15
check
1/10+1/15=1/6
15/150+10/150=1/6
25/150=1/6
ok

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