SOLUTION: One tap can fill a bath in t minutes and a second tap can fill the bath in 2t minutes. What fraction of the bath is filled in 1 minute if both taps are turned on?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: One tap can fill a bath in t minutes and a second tap can fill the bath in 2t minutes. What fraction of the bath is filled in 1 minute if both taps are turned on?      Log On


   

Question 885113: One tap can fill a bath in t minutes and a second tap can fill the bath in 2t minutes. What fraction of the bath is filled in 1 minute if both taps are turned on?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Fill Rate for Both Together: 1%2Ft%2B1%2F%282t%29 baths per minute.

How much bath filled in 1 minute?
%281%2Ft%2B1%2F%282t%29%29%2A1, amount of bath.
2%2F%282t%29%2B1%2F%282t%29
3%2F%282t%29 amount of baths in 1 minute.

If you want to know the time to fill 1 bath, then you use another variable, say x.
%281%2Ft%2B1%2F%282t%29%29x=1, but we cannot find a unique t and x combination because this is only one equation in two unknowns.

You can only get the fraction of bath filled in one minute as highlight%283%2F%282t%29%29.