Subject
Quantitative Aptitude
Topic
Time and Work
A cistern is provided with two pipes A and B. A can fill a cistern in 20 minutes and B can empty it in 24 minutes. If A and B pipes are opened on alternate minutes, find in how many minutes, the cistern shall be full?
A cistern is provided with two pipes A and B. A can fill a cistern in 20 minutes and B can empty it in 24 minutes. If A and B pipes are opened on alternate minutes, find in how many minutes, the cistern shall be full?
ক)
4 hours 49 min.খ)
3 hours 49 min.গ)
3 hours 18 min.ঘ)
None of theseঙ)
Can’t be determinedExplanation
According to the given information, A can fill the cistern in 20 minutes ⇒ in one min the part of cistern filled by A = 1/20 Similarly, B can empty the cistern in 24 minutes ⇒ in one min the part of cistern emptied by B = 1/24 Now, the Part of the cistern filled in a span of 2 minutes ∴ Part of the cistern filled in (114 × 2) = 228 minutes Part of cistern remaining to be filled = 1 – (19/20) = 1/20 After 228 minutes, it’s pipe A’s turn to fill the cistern and it has to fill 1/20th part of the cistern. As stated earlier, pipe A will take 1 minute to fill the remaining part. ∴ total time = 228 + 1 = 229 minutes = 3 hours 49 minutesRelated questions
The number of days in which A and B together can finish a piece of work is 12 days less than the time taken by A alone and 27 days less than the time taken by B alone to finish the work. If A and B completed the work in 15 days with the help of C and got a total compensation of Rs 3000 for the work, then what is the share of C?5 men and 5 women earn Rs. 660 in 3 days. 10 men and 20 women earn Rs. 3500 in 5 days. In how many days can 6 men and 4 women earn Rs. 1060?Two pipes can fill a tank in 5 minutes and 6 minutes respectively and a third pipe empties the full tank in 10 minutes. How much time will be taken to fill the tank if all pipes open simultaneously?8 men can complete a piece of work in 20 days.8 women can complete the same work in 32 days.In how many days will 5 men and 8 women together complete the same work?Two pipes fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 min. The capacity of the tank is?5 men and 2 boys working together can do four times as much work as a man and a boy.Working capacities of a man and a boy are in the ratio:P alone can complete a piece of work in 6 days and Q alone can complete the same piece of work in 12 days. In how many days can P and Q together complete the same piece of work?Jason won some goldfish at the state fair. During the first week 1/5 of them died and during the second week, 3/8 of those still alive at the end of the first week died. What fraction of the original goldfish were still alive after two weeks?