Question 607067
If it takes 16 faucets 10 hours to fill 8 tubs, how long will it take 12 faucets to fill 9 tubs?
<pre>
The expression

{{{Workers*Time/(Jobs)}}}

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

{{{Workers*Time/(Jobs)}}} = {{{(16*10)/8}}}  = 20

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

{{{Workers*Time/(Jobs)}}} = {{{(12*T)/9}}}  

It must also equal to the constant 20.

{{{(12*T)/9}}}  = 20

Multiply both sides by 9

12T = 180

  T = 15 hours.

Edwin</pre>