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