SOLUTION: One pipe can fill a tank three times as fast as another. When both pipes are used, it takes 1.5 hours to fill the tank. How long does it take each pipe alone

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: One pipe can fill a tank three times as fast as another. When both pipes are used, it takes 1.5 hours to fill the tank. How long does it take each pipe alone      Log On


   

Question 967055: One pipe can fill a tank three times as fast as another. When both pipes are used, it takes 1.5 hours to fill the tank. How long does it take each pipe alone
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate x Time = Output
Let the tank be full when the output is 100.
R%5B1%5D%2A%281%29=100
R%5B2%5D%2A%281%2F3%29=100
.
.
R%5B2%5D=3R%5B1%5D
R%5B1%5D%281.5%29%2BR%5B2%5D%281.5%29=100
R%5B1%5D%283%2F2%29%2BR%5B2%5D%283%2F2%29=100
R%5B1%5D%283%2F2%29%2BR%5B1%5D%289%2F2%29=100
R%5B1%5D%2812%2F2%29=100
R%5B1%5D=200%2F12
R%5B1%5D=100%2F6
Then,
R%5B2%5D=3%28100%2F6%29
R%5B2%5D=50
So then,
t%5B1%5D=100%2FR%5B1%5D
t%5B1%5D=100%2F%28100%2F6%29
t%5B1%5D=6hr
and
t%5B2%5D=100%2FR%5B2%5D
t%5B2%5D=100%2F50
t%5B2%5D=2hr