Factory produces 6 motorcycles in 9 hours determine how many hours it takes to produce 16 motorcycles at this rate

So 6 is to 9

6:9

16 is to x

16:x

they are eual so change to fraction and solve

6/9=16/x

multiply both sides by x

6x/9=16

multil yboth sides y 9

6x=144

divide by 6

x=24

answer is 24 hours

Since 16 is 2 and 2/3 greater than 6, then you multiply 2 and 2/3 by 9 and you get 24 hours.