SOLUTION: Alice needs to make a certain number of boxes. If she makes the boxes at a rate of 16 boxes per hour, she will take 2 hours longer than if she works at a rate of 18 boxes per hour.
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Question 475491: Alice needs to make a certain number of boxes. If she makes the boxes at a rate of 16 boxes per hour, she will take 2 hours longer than if she works at a rate of 18 boxes per hour. How many boxes does Alice need to make? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Alice needs to make a certain number of boxes. If she makes the boxes at a rate of 16 boxes per hour, she will take 2 hours longer than if she works at a rate of 18 boxes per hour. How many boxes does Alice need to make?
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Original DATA:
# of boxes needed:"x";rate=16boxes/hr;time=x boxes/16 boxes/hr = x/16 hrs
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New DATA:
# of boxes needed:"x";rate=18boxes/hr;time=x boxes/18 boxes/rs = x/18 hrs
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Equation:
old time - new time = 2 hrs
x/16 - x/18 = 2
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18x - 16x = 2*16*18
2x = 2*16*18
x = 16*18 = 288 boxes (# of boxes Alice needs to make)
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Cheers,
Stan H.
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