SOLUTION: If it takes 16 faucets 10 hours to fill 8 tubs, how long will it take 12 faucets to fill 9 tubs?

Algebra ->  Proportions  -> Lessons -> SOLUTION: If it takes 16 faucets 10 hours to fill 8 tubs, how long will it take 12 faucets to fill 9 tubs?      Log On


   



Question 607067: If it takes 16 faucets 10 hours to fill 8 tubs, how long will it take 12 faucets to fill 9 tubs?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
If it takes 16 faucets 10 hours to fill 8 tubs, how long will it take 12 faucets to fill 9 tubs?
The expression

Workers%2ATime%2F%28Jobs%29

is a constant, So we can calculate the constant from the first
situation.  The faucets are the "workers"

Workers%2ATime%2F%28Jobs%29 = %2816%2A10%29%2F8  = 20

Let the time required for 12 faucers to fill 9 tubs be T.  Then
for the second situation

Workers%2ATime%2F%28Jobs%29 = %2812%2AT%29%2F9  

It must also equal to the constant 20.

%2812%2AT%29%2F9  = 20

Multiply both sides by 9

12T = 180

  T = 15 hours.

Edwin