Tank - Pipes

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PIPES & CISTERNS:

Inlet Pipe: A pipe which is used to fill the tank is known as Inlet Pipe.

Outlet Pipe: A pipe which can empty the tank is known as an Outlet Pipe.
                                                     Efficiency * Total time taken = Total units of tank filled/emptied
                                                     Assume the tank to be of 1 unit.

  • If a pipe can fill the tank in 'x' hours then the part filled per hour(efficiency)= 1/x
  • If a pipe can empty a tank in 'y' hours, then the part emptied per hour(efficiency)= 1/y
  • If pipe A can fill a tank 'x' hours and pipe B can empty a tank in 'y' hours, if they are both active at the same time, then

                                The part filled per hour  =$$\dfrac{1}{x}-\dfrac{1}{y}$$(if y>x)

                                The part emptied per hour  =$$\dfrac{1}{y}-\dfrac{1}{x}$$(if x>y)

Question 1

A tank has 3 inlet pipes and 2 outlet pipes. The inlet pipes can individually fill the tank in 4, 6 and 8 hours. The outlet pipes can individually empty the tank is 2 hours and 10 hours. Find the time in which the empty tank gets filled, if all the taps are kept open.

Question 2

There are two types of pipes - type A and type B. 2 pipes of type A and 1 pipe of type B can together fill a tank in 3 hours. 3 pipes of type A operating together can fill an empty tank in one and a half hours lesser than 2 pipes of type B operating together. Find the ratio of time in which one pipe of type A fills the tank to the time in which one pipe of type B fills the tank.

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