# SOLUTION: A water faucet can fill a sink in 6 minutes, whereas the drain can empty it in 4 minutes. If the sink is full, how long will it take to empty if both the faucet and drain are both

Algebra ->  Algebra  -> Rate-of-work-word-problems -> SOLUTION: A water faucet can fill a sink in 6 minutes, whereas the drain can empty it in 4 minutes. If the sink is full, how long will it take to empty if both the faucet and drain are both       Log On

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 Click here to see ALL problems on Rate-of-work-word-problems Question 528086: A water faucet can fill a sink in 6 minutes, whereas the drain can empty it in 4 minutes. If the sink is full, how long will it take to empty if both the faucet and drain are both open?Answer by lwsshak3(6456)   (Show Source): You can put this solution on YOUR website!A water faucet can fill a sink in 6 minutes, whereas the drain can empty it in 4 minutes. If the sink is full, how long will it take to empty if both the faucet and drain are both open? ** 1/6=flow-rate of faucet 1/4=flow-rate of drain x=minutes to empty sink when faucet and drain are both open 1/x=net flow rate when faucet and drain are both open .. 1/4-1/6=1/x 3/12-2/12=1/x 1/12=1/x x=12 minutes ans: It would take 12 minutes to empty sink when faucet and drain are both open Check: The faucet would add water for 2 full sinks=1/6*12=2 The drain would take out water for 3 full sinks=1/4*12=3 (existing full sink plus 2 added by faucet)