Question

Suppose that the number of cars manufactured at an automobile plant varies jointly as the number of workers and the time they work. If 340 workers can produce 204 cars in 4 hours, find the number of workers that can produce 180 cars in 3 hours.

Answer 1

c = kwt
so,
c/(wt) = k, a constant

You want w such that

180/(3w) = 204/(340*4)
60/w = 3/20
w = 400

Answer 2

Suppose that the number of cars manufactured at an automobile plant varies jointly as the number of workers and the time they work. If 340 workers can produce 204 cars in 4 hours, find the number of workers that can produce 180 cars in 3 hours.

Answer 3

440