SOLUTION: If tap A fills the tank in 10 hours, tap b empties the same tank in 22 hours. In what time the tank will be filled when both inlet and outlet is open?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If tap A fills the tank in 10 hours, tap b empties the same tank in 22 hours. In what time the tank will be filled when both inlet and outlet is open?       Log On


   

Question 852457: If tap A fills the tank in 10 hours, tap b empties the same tank in 22 hours. In what time the tank will be filled when both inlet and outlet is open?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x represent time when both are open

 1/10 - 1/22 = 1/x     |Multiplying thru by 220x so as all denominators = 1

  22x - 10x = 220

      12x = 220

        x = 220/12 = 18 1⁄3 hr, time to fill when both are open