After How Many Minutes Will Both Buckets Be Filled With Water?

Question

There is 100 litres of water in one bucket and 56 litres in another. Pipe B can fill in 11 litres per minute more than Pipe A. Pipe A fills in the the tank with 100 liters of water and Pipe B fills in the tank with 56 liters of water. After how many minutes do both tanks have the same volume of water?

Answer 1

After T minutes bucket A contains 100+AT litres while bucket B contains 56+(11+A)T, where A is the filling rate of pipe A. These quantities are the same so 100+AT=56+11T+AT and 11T=100-56=44 so T=4 mins.