SOLUTION: Please help me with this word problem: A faucet can fill a sink in 8 minutes. If the sink is full, the faucet is on, and the drain is open, the sink takes 25 minutes to drain. H

Question 922231: Please help me with this word problem:
A faucet can fill a sink in 8 minutes. If the sink is full, the faucet is on, and the drain is open, the sink takes 25 minutes to drain. How many minutes does it take the drain to empty a full sink?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
rate for A alone 8
rate for A & B together 25
1/a+1/b=1/x
1/8+1/b=1/25
1/b=1/25-1/8
1/b=8/200-25/200
1/b=-17/200
1/b=1/-11.7647059
b=-11.7647059
rate for B alone 11.7647059 minutes to drain
check
1/8+1/-11.7647059=1/25
-11.7647059/-94.1176471+8/-94.1176471=1/25
-3.76470588/-94.1176471=1/25
ok
codewa

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