SOLUTION: Line A fills tank in 3 hours. Line B fills tank in 4 hours. Line C empties tank in 5 hours. With all lines open how long until tank is 3/5 full

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Line A fills tank in 3 hours. Line B fills tank in 4 hours. Line C empties tank in 5 hours. With all lines open how long until tank is 3/5 full      Log On


   

Question 384186: Line A fills tank in 3 hours. Line B fills tank in 4 hours. Line C empties tank in 5 hours. With all lines open how long until tank is 3/5 full
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,         

Let x represent the time it would take to fill tank for all three working together.

Question states;  Per Hour the Equalizer:

 1/3 + 1/4 - 1/5 = 1/x  Multiplying each term by 60x so as all denominators = 1

 20x + 15x - 12x = 60

           23x = 60

             x = 60/23 hr 



  With all lines open how long until tank is 3/5 full         

  3/5 * 60/23 = 36/23 = 1.57 hrs, tank will be  3/5 full