Question:
To fill a certain tank, pipes A, B and C take 20 minutes, 15 minutes and 12 minutes respectively. If the three pipes are opened every alternate minute, how long will it take to fill the tank?
To fill a certain tank, pipes A, B and C take 20 minutes, 15 minutes and 12 minutes respectively. If the three pipes are opened every alternate minute, how long will it take to fill the tank?
Updated On: Jan 30, 2025
- 5 minutes
- 10 minutes
- 12 minutes
- 15 minutes
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Part filled by 3 pipes in 3 minutes \(=\frac{1}{20}+\frac{1}{15}+\frac{1}{12}=\frac{3+4+5}{60}=\frac{1}{5}\)
1/5th of the tank is filled in 3 minutes then whole tank is filled in 5 x 3 = 15min
Hence, option D is the correct answer.The correct option is (D): 15 minutes
1/5th of the tank is filled in 3 minutes then whole tank is filled in 5 x 3 = 15min
Hence, option D is the correct answer.The correct option is (D): 15 minutes
Was this answer helpful?
0
0
Top MAT Mathematics Questions
- If 7\(\%\) of the sale price of an article is equivalent to 8% of its cost price and 9\(\%\) of its sale price exceeds 10\(\%\) of its cost price by Re. 1, then what is the cost price of the article?
- Two passengers boarding a flight were found to have between them 34.5 kg of luggage. As per the excess luggage policy of the flight operator, the two passengers were made to pay Rs. 3.75 and Rs. 6.00 for the excess weight of their luggage. Later they found out that if the same luggage were to belong to just one person, then the excess luggage fee would have been Rs. 13.50. How much free luggage is allowed for each passenger?
- A person wishes to make a 100 sq m rectangular garden. Since he has only 30 m barbed wire for fencing, he fences only three sides letting the house wall act as the fourth side The width of the garden is
- A daily wage worker was paid Rs: 1,700 during a period of 30 days. During this period he was absent for 4 days and was fined Rs. 15 per day for absence. He was paid the full salary only for 18 days as he came late on the other days. Those who came late were given only half the salary for that day. What was the total salary paid per month to a worker who came on time every day and was never absent?
- The number of rectangles that you can find on a chessboard is
View More Questions
Top MAT Time and Work Questions
- A contract is to be completed in 46 days and 117 men were set to work, each working 8 hours a day. After 33 days \(\frac{4}{7}\) of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day?
- George takes 8 hours to copy a 50 page manuscript while Sonya can copy the same manuscript in 6 hours. How many hours would it take them to copy a 100 page manuscript, if they work together?
- If 15 men, 24 women and 36 boys can do a piece of work in 12 days, working 8h per day, how many men must be associated with 12 women and 6 boys to do another piece of work \(2\frac{1}{4}\) times as large in 30 days working 6 h per day?
- Two coal loading machines, each working 12 h per day for 8 days, handle 9000 tonne of coal with an 1 efficiency of 90%, while 3 other coal loading machines at an efficiency of 80% are set to handle 12000 tonne of coal in 6 days. How many hours per day should each machine work?
- Six pipes are fitted to a water tank. Some of these are inlet pipes and the others outlet pipes. Each inlet pipe can fill the tank in 9 h and each outlet pipe can empty the tank in 6 h. On opening all the pipes, an empty tank is filled in 9 h. The number of inlet pipes is
View More Questions
Top MAT Questions
- If 7\(\%\) of the sale price of an article is equivalent to 8% of its cost price and 9\(\%\) of its sale price exceeds 10\(\%\) of its cost price by Re. 1, then what is the cost price of the article?
- Two passengers boarding a flight were found to have between them 34.5 kg of luggage. As per the excess luggage policy of the flight operator, the two passengers were made to pay Rs. 3.75 and Rs. 6.00 for the excess weight of their luggage. Later they found out that if the same luggage were to belong to just one person, then the excess luggage fee would have been Rs. 13.50. How much free luggage is allowed for each passenger?
- A person wishes to make a 100 sq m rectangular garden. Since he has only 30 m barbed wire for fencing, he fences only three sides letting the house wall act as the fourth side The width of the garden is
- A daily wage worker was paid Rs: 1,700 during a period of 30 days. During this period he was absent for 4 days and was fined Rs. 15 per day for absence. He was paid the full salary only for 18 days as he came late on the other days. Those who came late were given only half the salary for that day. What was the total salary paid per month to a worker who came on time every day and was never absent?
- The number of rectangles that you can find on a chessboard is
View More Questions