+37 Machine A can produce 160 cups of orange juice in an hour, while Machine B can produce 560 cups of orange juice in 2 1/3 hours.
a. Which machine operates at a faster rate?
b. If both machines operate together, how long will it take them to produce 1 800 cups of orange juice?
(Express your answer in hours.)
+266 Part A:
Machine A can produce \(160 \times 2\frac{1}{3} = 373\frac{1}{3}\) cups of orange juice in 2 1/3 hrs
So, we can conclude that machine B operates at a faster rate
Part B:
Well, Machine B produces \(560 \div \frac{7}{3} = 560\times \frac{3}{7} = 240\) cups of orange juice per hour.
So, both combined can produce 400 cups of orange juice per hour, so for 1800 cups, it will take \(\frac{1800}{400} = 4.5\) hours
Hope this helped, EJ
