Question

The Westminster Widget Company has an old machine that can produce 10 widgets in two hours. Now they have purchased a new machine that can produce 30 widgets in three hours. Working together, how long will it take the two machines to produce 75 widgets?

Answer 1

First we will find the average production for each machine:
For old machine:
(10) / (2) = 5 widgets / hour
For new machine:
(30) / (3) = 10 widgets / hour
We define t:
t = Amount of time in hours:
The equation sought is:
5 + 10 = 75 / t
Clearing we have:
t = (75 / (5 + 10))
t = 5 hours
Answer:
Working together, it will take the two machines to produce 75 widgets about:
t = 5 hours