Question

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?

Answer 1

There are 6 twenty minutes in 2 hours.
(3 twenty minutes in 1 hour)

There are 8 fifteen minutes in 2 hours.
(4 fifteen minutes in 1 hour)


`45*6=270\\30*8=240`

Factory A will produce more machines.

Answer 2

Answer: Factory A produces 30 more machines than factory B.

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