Question

A tank has two pipes, the first pipe can fill the tank in 45 minutes and second pipe can empty in 60 minutes. If both pipes are open for one minute each alternatively, then the time it will take to fill the tank is

Answer 1

Answer:

Solution : LCM OF 45 and 60 is 180.<br> let the capacity of tank be 180 liters.<br> rate of filling of A is 4 litres per minute and B takes out water at the rate of 3 liters per minute.<br> so if both taps are opened alternatively for 1 minute tehn in 2 minutes 1 liter of tank will be filled.<br> then 176 liters will be filled in 176 x 2=352 minutes. after the 352th minute tap A will open and fill the tank completely so tank will be completely filled in 353 minutes= 5 hours and 53 minutes