Machines X and Y produce identical bottles at different constant rates. Machine X, operating alone for 4 hours, filled part of the production lot; then Machine Y, operating along for 3 hours, filled the REST of this lot.
How many hours would it have taken Machine X operating alone to fill the entire production lot?
1) Machine X produced 30 bottles per minute.
2) Machine X produced twice as many bottles in 4 hours as Machine Y produced in 3 hours.
Bottles = (rateX)4 + (rateY)3 *Did not forget to convert minutes to hours
1) RateX = 30 b/min = 1800 b/hr
Xbottles = 1800(4) = 7200 bottles
2) Bottles Y = 1/2 Bottles X
I went with putting them together, getting the total number of bottles produced and backing out the rate for the answer. WRONG.
I have the answer, I just don't understand it.
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