Question 180319: Variation Problem
The time required to process a shipment of goods at Alco varies directly with the number of items in the shipment and inversely with the number of workers assigned. If 15,000 items can be processed by 8 workers in 10 hours, then how long would it take 12 workers to process 20,000 items?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The time required to process a shipment of goods at Alco varies directly with the number of items in the shipment and inversely with the number of workers assigned.
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t = k[n/w]
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If 15,000 items can be processed by 8 workers in 10 hours
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solve for "k"
10 = k[15000/8]
k = 80/15000
k = 0.0053333
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Equation:
t = 0.005333..[n/w]
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then how long would it take 12 workers to process 20,000 items?
t = 0.005333[20,000/12]
t = 8.8888...hrs.
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Cheers,
Stan H.
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