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

Using the LCM method for the first equation, let the total capacity be 24 units. The 10 filling pipes fill at a combined rate of 40 units per minute and the 6 emptying pipes empty at a combined rate of 18 units per minute, so the net filling rate is 22 units per minute. This gives the tank capacity as 24 divided by 22 multiplied by the 44 litres filled per minute, which yields 48 litres for x. Comparing this to y equals 60 litres, we establish that x is less than y.

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