SOLUTION: A machine can fill 1000 cases of soda cans in 3 hours. A second machine requires 5 hours to fill the same amount. How long will if take both machines together to fill an order of 5

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A machine can fill 1000 cases of soda cans in 3 hours. A second machine requires 5 hours to fill the same amount. How long will if take both machines together to fill an order of 5      Log On


   

Question 417315: A machine can fill 1000 cases of soda cans in 3 hours. A second machine requires 5 hours to fill the same amount. How long will if take both machines together to fill an order of 5000 cases?
Answer by scott8148(6628) About Me  (Show Source):
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the first machine fills 1000/3 cases per hour

the second machine fills 1000/5 cases per hour ___ or 200 or 600/3

together the machines fill 1600/3 cases per hour

so it takes 5000/(1600/3) hours to fill 5000 cases

15000/1600 = 75/8 or 9.375 hr