SOLUTION: The number of cars manufactured on an assembly line varies jointly as the number of workers and the time they worked. If 120 workers can produce 60 cars in 2 hours, find how many c
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Question 1045246: The number of cars manufactured on an assembly line varies jointly as the number of workers and the time they worked. If 120 workers can produce 60 cars in 2 hours, find how many cars 140 workers should be able to produce in 3 hours? Found 2 solutions by Boreal, ikleyn:Answer by Boreal(15235) (Show Source):
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The number of cars manufactured on an assembly line varies jointly as the number of workers and the time they worked.
If 120 workers can produce 60 cars in 2 hours, find how many cars 140 workers should be able to produce in 3 hours?
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To solve such a simple problem, it is better to use the conception of "rate of work"
Rate of work in the first case is
.
It is "how many cars can one worker produces in one hour".
Rate of work in the second case is
.
The rate of work is assumed to be constant, or the same, in both cases.
This assumption is equivalent to "The number of cars manufactured on an assembly line varies jointly as the number of workers and the time they worked."
By equating two quantities for the rate-of-work, you get the equation (like proportion)
= .
Find x from this proportion.
x = = 105.
Answer. 105 cars.
