A pipe fills a tank in 8 minutes and drain empties it in 6 minutes. How much time does it take to fill the tank with both open at the same time?

Question

i need helping 

Answer 1

The filling cannot occur because the draining occurs faster than the rate of fill.

 

(Size of tank does not matter!)

Answer 2

V is the volume of the tank

 

pipe fills the tank at a rate of V/8 gallons per minute

 

drain empties the tank at a rate of V/6 gallons per minute

 

When both are opened the tank is filled at a rate of V/8 - V/6 = 3V/24 - 4V/24 = -V/24

 

Doesn't look good