# SOLUTION: A hose can fill a children's pool in 3 hours. If the drain is open, the pool will drain in 5 hours. If the hose is turned on AND the drain is left open, how long will it take to fi

Algebra ->  Algebra  -> Rate-of-work-word-problems -> SOLUTION: A hose can fill a children's pool in 3 hours. If the drain is open, the pool will drain in 5 hours. If the hose is turned on AND the drain is left open, how long will it take to fi      Log On

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 Click here to see ALL problems on Rate-of-work-word-problems Question 456040: A hose can fill a children's pool in 3 hours. If the drain is open, the pool will drain in 5 hours. If the hose is turned on AND the drain is left open, how long will it take to fill the children's pool? Answer by stanbon(57290)   (Show Source): You can put this solution on YOUR website!A hose can fill a children's pool in 3 hours. If the drain is open, the pool will drain in 5 hours. If the hose is turned on AND the drain is left open, how long will it take to fill the children's pool? -------------------------- fill rate = 1/3 job/hr drain rate = 1/5 job/hr together rate = 1/x job/hr ------------------------------ Equation: fill - drain = 1 job 1/3 - 1/5 = 1/x --- 5x - 3x = 15 2x = 15 x = 7.5 hrs. (time to fill the pool) ======================================= Cheers, Stan H. ============