Question
Pipe ‘A’ and pipe ‘B’ can fill a cistern in 20
minutes and 18 minutes respectively. Pipe ‘C’ alone can empty the cistern in 12 minutes. If all three pipes are opened together then what is the time taken to fill 50% of the cistern?Solution
Let the capacity of the cistern = 180 units Then, efficiency of pipe ‘A’ = 180/20 = 9 units/minute Efficiency of pipe ‘B’ = 180/18 = 10 units/minute Efficiency of pipe ‘C’ = 180/12 = 15 units/minute So, combined efficiency of pipes ‘A’, ‘B’ and ‘C’ = 9 + 10 – 15 = 4 units/minute 50% of the cistern’s capacity = 90 units Therefore, time taken by all 3 pipes together to fill 50% of the cistern = 90/4 = 22.5 minutes
Nikhil spends x% of his salary on rent, then 30% of the balance on groceries, pays Rs. 6600 for transport, and saves Rs. 5496 from a total income of Rs....
Monthly income of 'P' is twice the monthly income of 'Q'. 'Q' spends 65% of his income in a month while saves Rs. 9800. Monthly income of 'R' is 20% mor...
The ratio of the monthly income of C and D is 9:14, respectively, and their expenditures are Rs. 1500 and Rs. 3500, respectively. Find the difference be...
In 2021, ratio of salaries of 'Abhi' and 'Mohani' was 8:5, individually while the ratio of their expenses was 5:3, individually and savings of 'Abhi' is...
- The monthly incomes of Anita and Sunita are in the ratio 3:4. Anita spends 80% of her income and manages to save Rs. 6000. What is the monthly expenditure ...
A, B and C together earn Rs. 2700 in 18 days. A and C together earn Rs. 940 in 10 days. B and C together earn Rs 1520 in 20 days. Find the daily earning...
The respective ratio of monthly income of A to monthly income of B is 12:13, and A’s saving is (100/19)% more than B’s saving. Find the expenditure ...
Person 'X' allocates 20% of his income to food. From the remaining amount, he spends 25% on education. Then, he uses 30% of what is left after food and ...
Aman spends 30% of his income, monthly income, on fuel. 40% in basic needs and 20% of the remaining in education. He saves the rest of them all in a rec...
The incomes of Abhinav and Bishnu are in the ratio 4:3, and their savings are in the ratio 3:1. Both spend Rs. 5,000 each. Determine the difference betw...
Relevant for Exams:
