Question
Pipe ‘X’ and pipe ‘Y’ can fill a tank alone in
36 hours and 18 hours, respectively. If both pipes are opened together and pipe ‘Y’ is closed after 6 hours, then find the time taken by pipe ‘X’ to fill the remaining portion of the tank alone.Solution
Let the capacity of the tank be 36 units (LCM of 36 and 18) Efficiency of pipe ‘X’ = 36 ÷ 36 = 1 unit/hour
Efficiency of pipe ‘Y’ = 36 ÷ 18 = 2 unit/hour Let pipe ‘X’ fill the remaining portion in x hours. ATQ, 6 × (1 + 2) + 1x = 36 Or, 18 + x = 36 Or, x = 18 Therefore, required time taken = 18 hours
A cistern has two pipes. One can fill it with water in 16 hours and other can empty it in 10 hours. In how many hours will the cistern be emptied if bo...
An inlet pipe can fill a tank in 10 hours, whereas an outlet pipe can empty the same tank in 25 hours. Find the time taken by two such inlet pipes and o...
Pipe ‘A’ takes 15 minutes to fill a tank. Pipe ‘B’ takes 25 minutes to empty the same tank. If pipe ‘B’ is opened 11 minutes after pipe ‘A...
Pipe A and Pipe B can fill a cistern together in 18 minutes. Pipe B is 50% more efficient than pipe A. Find the capacity of cistern, if it is given tha...
Pipe ‘A’ can fill a tank in 25 hours whereas leak ‘A’ can empty it in 30 hours. If they both operate along with pipe ‘B’, then the given tan...
There was the leakage in the Oil tanker. If 20 litre of oil is leaked out per day then it would have lasted for 50 days and if the leakage was 32 litre ...
Pipes 'A' and 'B' have the capacity to fill a tank in 12 hours and 15 hours, respectively. Conversely, pipe 'C' can drain the same tank in 20 hours. Ini...
A cistern has two pipes one can fill it with water in 24 hours and other can empty it in 9 hours. In how many hours will the cistern be emptied if both ...
Pipe A fills a tank in 20 minutes and Pipe B fills it in 30 minutes. Pipe C can empty it in 60 minutes. If all three pipes are opened together, in how m...
Time taken by pipe 'A' to fill a tank is 30 minutes. When both pipes 'A' and 'B' are opened together, the tank gets filled in 10 minutes. Find the time...
Relevant for Exams:
