Pipes and Cisterns

There are two inlet pipes and an outlet pipe. The efficiency of one of the inlet pipes is double than that of the other inlet pipe. The efficiency of the outlet pipe is half that of the lesser-efficient inlet pipe. The empty tank gets filled in 12 h when all the pipes are opened. How many hours will it take to fill the empty tank when the lesser-efficient inlet pipe is plugged and the rest kept opened?

Directions: In these questions, two equations numbered I and II are given. You have to solve both the equations and give answer (a) x ≥ y (b) x ≤ y (c) x y (e) x = y or Relationship between x and y cannot be established There are 10 filling pipes each capable of filling a cistern alone in 6 minutes and 6 emptying pipes each capable of emptying a cistern alone in 8 minutes. All pipes are opened together and as a result, tank fills 44 litres of water per minute. (x) Find the capacity of the tank. (y) 60 litres

Directions: The following question consists of three statements A, B and C. You have to determine which of the following statements is/are necessary to answer the question. At the Natural dairy farm in Halwara, milk from the milking parlour is pumped into a partially-filled collection tank at a constant rate through an inlet pipe. At the same time, milk is pumped out of the collection tank at a constant rate through an outlet pipe into the BMC for further processing. At what rate, in litres per minute, is the quantity of milk in the collection tank increasing? A. The quantity of milk initially in the tank is 200 litres. B. Milk is pumped into the tank at a rate of 10 litres per minute. C. Milk is pumped out of the tank at a rate of 10 litres every two and a half minutes.

Three pipes A, B and C are connected to a tank. These pipes can fill the tank separately in 5 hours, 10 hours and 15 hours, respectively. When all the three pipes are opened simultaneously, it is observed that pipes A and B are supplying water at 3/4 of their normal rates for the first hour, after which they supply water at the normal rate. Pipe C supplies water at 2/3 of its normal rate for the first 2 hours, after which it supplies water at its normal rate. In how much time would the tank be filled?

Pipe A fills a tank at the rate of 100lit/min, Pipe B fills at the rate of 25 lit/min, pipe C drains at the rate of 50 lit/min. The three pipes are kept open for one minute each, one after the other. If the capacity of the tank is 7000 liters, how long will it take to fill the tank if i. A is kept open first, followed by B and then C. ii. B first, followed by A, and then C. iii. B first, followed by C, and then A.

Water flows in to a tank 15 m.×10 m. through a rectangular pipe 2 m.×1.5 m. at 20 km./hr. In how much time will the water level in the tank rise by 3m.? একটি আয়তক্ষেত্রাকার পাইপ (2 মি × × 1.5 মি) এর মাধ্যমে একটি ট্যাংকে (15 মি × × 10 মি) 20 কিমি / ঘন্টা হারে জল প্রবাহিত হয়। কত সময়ে ট্যাঙ্কের জলের উচ্চতা মাত্র 3 মিটার বাড়বে?