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 160 workers can produce 32 cars in 2 hours, find the number of workers that can produce 66 cars in 3 hours?___ number of workers

Answer 1

We have that the 160 workers do 32 cars in 2 hours, so they do 16cars/h (in 1 hour), now we need to now how many workers can do 66 cars in 3 hours, this is 22cars/h (in 1 hour). Doing a rule of three we have that

$22\text{ car/h }\cdot\text{ }\frac{160\text{ workers}}{16\text{ car/h}}\text{ = 220 workers.}$

So the answer is: 220 workers