SOLUTION: ONE SMALL PIPE TAKES TWICE AS LONG TO FILL A TANK AS A LARGER PIPE DOES. IT TAKES THE TWO PIPES 40 MINUTES TO FILL THE TANK WHEN WORKING TOGETHER. HOW LONG WILL IT TAKE EACH PIPE

Algebra ->  Rate-of-work-word-problems -> SOLUTION: ONE SMALL PIPE TAKES TWICE AS LONG TO FILL A TANK AS A LARGER PIPE DOES. IT TAKES THE TWO PIPES 40 MINUTES TO FILL THE TANK WHEN WORKING TOGETHER. HOW LONG WILL IT TAKE EACH PIPE      Log On


   

Question 173394: ONE SMALL PIPE TAKES TWICE AS LONG TO FILL A TANK AS A LARGER PIPE DOES. IT TAKES THE TWO PIPES 40 MINUTES TO FILL THE TANK WHEN WORKING TOGETHER. HOW LONG WILL IT TAKE EACH PIPE INDIVIDUALLY TO FILL THE TANK?
Found 2 solutions by midwood_trail, Mathtut:
Answer by midwood_trail(310) About Me  (Show Source):
You can put this solution on YOUR website!
I think the equation you need is
1/2x + 1/x = 2/3
Solve for x.
The answer you are searching for must be greater than 40 minutes.
Can you take it from here?

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
rate for large pipe call 1/x and rate of small pipe 1/2x.
:
%281%2Fx%29%2840%29%2B%281%2F2x%29%2840%29=1
:
%282%2840%29%2B40%29%2F2x=1
:
80%2B40=2x
:
2x=120
:
highlight%28x=60%29minutes for large pipe to fill tank alone
:
highlight%282%2860%29=120%29minutes for small pipe to fill tank alone
: