Factory a can produce 45 machines in 20 minutes. factory b can produce 30 machines in 15 minutes. if both factories produce machines for 2 hours, which factory will produce more machines? how many more machines will be produced?

Factory A produces 30 more machines than factory B.

Step-by-step explanation:

The data that we have is:

Factory A produces 45 machines in 20 minutes, this is 45/20 machines per minute = 2.25 machines per minute

Factory B produces 30 machines in 15 minutes, this is 30/15 machines per minute = 2 machines per minute.

then, if both factories work for two hours (2 hours is equal to 120 minutes)

we have that factory A produces:

N = (2.25 machines per minute)*120 mins = 270 machines

and factory B produces:

M = (2 machines per minute)*120 mins = 240 machines

So factory A produce 270 - 240 = 30 more machines

slope is 35 and 20 miles is the y-intercept.

step-by-step explanation: