Question

Machine M, working alone at its constant rate, produces x widgets every 4 minutes. Machine N, working alone at its constant rate, produces y widgets every 5 minutes. If machines M and N work simultaneously at their respective constant rates for 20 minutes, does machine M produce more widgets than machine N in that time?

Answer 1

Yes

Explanation:

Given that Machine M, working alone at its constant rate, produces x widgets every 4 minutes. Machine N, working alone at its constant rate, produces y widgets every 5 minutes.

When both machines work for 20 minutes

Machine A would produce =
`(20)/(4) =5` widget and

Machine B would produce =
`(20)/(5) =4` widgets

So we can say that Machine A would produce more widgets than Machine N at that time.

Answer is Yes