Answer:
4 hours and 57 minutes.
Step-by-step explanation:
The least common multiple of 9 and 11 is 99 .
In 99 hours, Sue could fill 11 orders (99 divided by 11)
Felipe could fill 9 orders ( 99 divided by 11 ), making a total of
9 + 11 = 20 orders if they both work.
So for both of them working to fill one order would take:
99 /20 hours.
To express in hours and minutes:
99 /20 = 80 /20 + 19 /20 = 4 + 3 ⋅ 19 /3 ⋅ 20 = 4 + 57 /60
That's 4 hours and 57 minutes, since a sixtieth of an hour is one minute.