Question
Pipes K and L alone can fill a tank in 4 hours and 6 hours
respectively. When both pipes along with pipe M, an outlet pipe, are opened together, 3/4 of the tank gets filled in 120 minutes. Find the time taken by pipe M to empty a completely filled tank.Solution
Let the total capacity of the tank be 12 litres.
Efficiency of Pipe 'K' = 12 / 4 = 3 litres/hour
Efficiency of Pipe 'L' = 12 / 6 = 2 litres/hour
Let pipe 'M' empties the tank with an efficiency of 'm' litres/hour.
Tank filled in 120 minutes = (3/4) × 12 = 9 litres
ATQ,
(3 + 2 - m) × (120/60) = 9
(5 - m) × 2 = 9
10 - 2m = 9
2m = 1
m = 0.5 litres/hour
Time taken by M to empty the tank = 12 / 0.5 = 24 hours
In a village 40% of votes were cast in an election. A and B were the contestants. A won by 600 votes. If B had got 60% more votes, there would have been...
A number is increased by 20% and then decreased by 25%. Find the net change %.
A number is initially increased by 24% and subsequently reduced by 30%. Determine the overall percentage change in the number, indicating whether it is ...
Simran scored 25% marks in a test and failed by 50 marks, whereas Neil scored 40% marks in the same test and failed by 20 marks. Find the passing marks ...
Write 95 out of 200 as a percentage.
In a train, 45% of the passengers are females. Out of total number of passengers, 65% have unreserved tickets out of which 36% are females. How much per...
The average age of three children in a family is 35% of the average of the age of father and the eldest child. The total age of the mother and the young...
If 97% of students are present in a class and 12 students are absent. Find total numbers of student in class?
- The population of a city grows by 12% annually. If the population after 2 years will be 31,360, what is the present population?
Ramesh's salary was reduced by 10% and then the reduced salary was increased by 10%. What was his ultimate loss?
Relevant for Exams:
