Pipes X,Y and Z are fittedto a tank. Each of Y and Z can fill the tank in 6 hours. The efficiency of X, which is an emptying pipe, is half Y. if X is fitted at one fourth of the heighest from the base and one fourth of the heigth of tank from the base and all the pipes ar opened simultaneously, the tank be filled in __________ hours.

Pipes X,Y and Z are fittedto a tank. Each of Y and Z can fill the tank

1.	Pipes X,Y and Z are fittedto a tank. Each of Y and Z can fill the tank in 6 hours. The efficiency of X, which is an emptying pipe, is half Y. if X is fitted at one fourth of the heighest from the base and one fourth of the heigth of tank from the base and all the pipes ar opened simultaneously, the tank be filled in __________ hours.
Answer» 4 `3(1)/(4)` `3(1)/(2)` 3 Solution :(i) Time taken by X to fill the TANK is 12 hours . If Y TAKES x hours to fill the tank, then X takes 2x hours to empty the full tank. (ii) First = `(1)/(4)` of the will be filled by Y and Z in 3 hous (iii) Remaining `((3)/(4))` of the tank will be FILLEDBY X,y and Z whereX will be emptying