# SOLUTION: One conveyor belt can move 1000 boxes in 12 minutes. Another can move 1000 boxes in 9 minutes. If another conveyor is added and all three are used, the boxes are moved in 3 minut

Algebra ->  Algebra  -> Rate-of-work-word-problems -> SOLUTION: One conveyor belt can move 1000 boxes in 12 minutes. Another can move 1000 boxes in 9 minutes. If another conveyor is added and all three are used, the boxes are moved in 3 minut      Log On

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 Click here to see ALL problems on Rate-of-work-word-problems Question 33803: One conveyor belt can move 1000 boxes in 12 minutes. Another can move 1000 boxes in 9 minutes. If another conveyor is added and all three are used, the boxes are moved in 3 minutes. How long would it take the third conveyor belt alone to do the same job?Answer by stanbon(57354)   (Show Source): You can put this solution on YOUR website!1st belt Data: time=12 min ; rate = 1/12 job/min 2nd belt Data: time=9 min ; rate = 1/9 job/min 3rd belt Data: time= x min ; rate = 1/x job/min Together Data: time= 3 min ; rate = 1/3 job/min EQUATION: rate + rate + rate= 1/3 1/12 + 1/9 + 1/x = 1/3 Multiply thru by 36x to get: 3x + 4x + 36 = 12x 5x=36 x=7.2 minutes (time for the 3rd belt working alone) Cheers, Stan H.