# SOLUTION: Two pumps can fill a water tank in 45 minutes when working together. Alone, the second pump takes 3 times longer than the first to fill the tank. How long does it take the first pu

Algebra ->  Algebra  -> Rate-of-work-word-problems -> SOLUTION: Two pumps can fill a water tank in 45 minutes when working together. Alone, the second pump takes 3 times longer than the first to fill the tank. How long does it take the first pu      Log On

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 Click here to see ALL problems on Rate-of-work-word-problems Question 189389: Two pumps can fill a water tank in 45 minutes when working together. Alone, the second pump takes 3 times longer than the first to fill the tank. How long does it take the first pump alone to fill the tankAnswer by ankor@dixie-net.com(15652)   (Show Source): You can put this solution on YOUR website!Two pumps can fill a water tank in 45 minutes when working together. Alone, the second pump takes 3 times longer than the first to fill the tank. How long does it take the first pump alone to fill the tank? : Let x = time required for the first pump to fill the tank alone then 3x = time required for the 2nd pump to do it alone : Write an equation of them working together; let the full tank = 1 Each pump will do a fraction of the job and will equal 1 when added together : + = 1 Multiply equation by 3x, results 3(45) + 45 = 3x : 135 + 45 = 3x : 180 = 3x x = x = 60 min for pump 1 alone : ; Check solution; (2nd pump requires 3*60 = 180 min alone) + = .75 + .25 = 1; confirms our solution