Two pumps can fill a tank in 12 minutes and 18 minutes respectively. A drain can empty the full tank in 36 minutes. All three operate at constant rates. The tank is initially empty.
Both pumps and the drain are switched on. Find the time taken to fill the tank if all three continue operating.
(4)
Instead, the 12-minute pump fails after 3 minutes. The other pump and the drain continue operating. Find the total time needed to fill the tank.
(4)
(Total for Question 1 is 8 marks)