It is 24 hours. If you need an explanation, all you have to do is find the unit rate.(6 over 9 divided by 6 over 6, which equals 1 over 1.5) Now take your answer, and multiply it by 16.(1 over 1.5 x 16 over 16, which equals 16 over 24) Since you started with the amount of hours as the denominator, the denominator, which should be 24, is the amount of hours. I hope this helped!! :)