Pipes and Cistern

Practice Pipes and Cistern – The two roots of a quadratic equation are given as x = 2/3 and x = – 1/2. The equation can be written as :

Practice Pipes and Cistern – Value of

is:

Practice Pipes and Cistern – If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is

Practice Pipes and Cistern – The minimum possible value of the sum of the squares of the roots of the equation x^2 + (a+3)x – (a-5) = 0 is

Practice Pipes and Cistern – If 3√5 + √125 = 17.88, then what will be the value of √80 + 6√5 ?

Practice Pipes and Cistern – A certain function f satisfies the equation f(x)+2*f(6-x) = x for all real numbers x. The value of f(1) is

Practice Pipes and Cistern – 7x+12y=220 ; x,y belongs to N, then find the number of solutions?

Practice Pipes and Cistern – 49 pumps can empty a reservoir in 13/2 days, Working 8 hours a day. If 196 pumps are used for 5 hours each day, then the same work will be completed in:

Practice Pipes and Cistern – A tanker could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the tanker is full in what time will the leak empty it ?

Practice Pipes and Cistern – Two pipes can fill a tank in 10 hours and 12 hours respectively while a third pipe empties the full tank in 20 hours.If all the three pipes operate simultaneously, in how much time will the tank be filled?

Practice Pipes and Cistern – Two pipes can fill a cistern in 14 hours and 16 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom, 32 minutes extra are taken for the cistern to be filled up. When the cistern is full in what time will the leak empty it ?

Practice Pipes and Cistern – Three taps A, B and C can fill a tank in 24, 30 and 40 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in :

Practice Pipes and Cistern – A tank is already 1/4 full. Two taps fill the tank in 10 hours and 15 hours respectively. Another tap can empty in 5 hours. If three pipes are opened, how much time does it take to empty the tank ?

Practice Pipes and Cistern – A tank has two compartments I and II. Two taps X and Y, whose filling rates are in ratio of 2:1, are used to fill the tank. The ration fo time taken by tap X to fill compartment I and tap Y to fill compartment II is 16:25. Find the ratio of the times taken by tap X to fill compartment II and tap Y to fill compartment I.

Practice Pipes and Cistern – A Cistern is filled by pipe A in 9 hrs and the full Cistern can be leaked out by an exhaust pipe B in 10 hrs. If both the pipes are opened in what time the Cistern is full?