SOLUTION: I know I can fill my bathtub in 10 minutes if I put the hot water tap on full, and that it takes 8 minutes if I put the cold water on full. I was in a hurry so I put both on full.

Algebra ->  Equations -> SOLUTION: I know I can fill my bathtub in 10 minutes if I put the hot water tap on full, and that it takes 8 minutes if I put the cold water on full. I was in a hurry so I put both on full.       Log On


   

Question 1065433: I know I can fill my bathtub in 10 minutes if I put the hot water tap on full, and that it takes 8 minutes if I put the cold water on full. I was in a hurry so I put both on full. Unfortunately, I forgot to put in the plug. A full tub empties in 5 minutes. How long, in minutes; will it take for
the tub to fill?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
I know I can fill my bathtub in 10 minutes if I put the hot water tap on full, and that it takes 8 minutes if I put the cold water on full.
I was in a hurry so I put both on full. Unfortunately, I forgot to put in the plug. A full tub empties in 5 minutes.
How long, in minutes; will it take for the tub to fill?
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If your question is "How long, in minutes, will it take for the tub to fill if both hot tap and cold tap are on and the plug is in ?"
then the solution is this: 

1.  1%2F10+%2B+1%2F8 = 8%2F80+%2B+10%2F80 = 18%2F80 = 9%2F40.


2.  time = 1%2F%28%289%2F40%29%29 = 40%2F9 = 4.44 minutes.

Actually, your question was incomplete, and the part of the story about emtying the tub was not relevant to the solution.