SOLUTION: The number of cars produced at a General Motors assembly plant�s assembly line varies jointly as the number of workers and the time they work. If 200 workers can produce 60 cars in

Question 815605: The number of cars produced at a General Motors assembly plant�s assembly line varies jointly as the number of workers and the time they work. If 200 workers can produce 60 cars in 2 hours, find how many cars 240 workers should be able to make in 3 hours.
Found 2 solutions by TimothyLamb, josmiceli:
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
n = C(w + t)
n = number of cars produced
w = number of workers
t = time devoted to production
C constant of proportionality for car production at this plant (cars/worker-hour)
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n = C(w + t)
60 = C(200 + 2)
C = 60/202
C = 0.2970297 cars/worker-hour
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n = C(w + t)
n = C(240 + 3)
n = C(243)
n = (0.2970297 cars/worker-hour) * (243 worker-hours)
n = 72.178218
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Answer:
72 cars
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Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
200 workers can produce 60 cars in 2 hrs
1/5 as many workers produce 1/5 as many cars in 2 hrs
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So, 40 workers produce 12 cars in 2 hrs
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6 times as many workers produce 12 cars in 1/6 the time
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So, 240 workers produce 12 cars in 1/3 of an hour
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The same number of workers produce 9 times as
many cars in 9 times that time
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So, 240 workers produce 108 cars in 3 hours
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