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- Question
A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in ?
Options- A. 20 hrs
- B. 28 hrs
- C. 36 hrs
- D. 40 hrs
- Correct Answer
- 20 hrs
Explanation1/8 - 1/x = 1/10
=> x = 40 hrs
- 1. Three taps A,B and C can fill a tank in 12,15 and 20 hours respectively. If A is open all the time and B ,C are open for one hour each alternatively, the tank will be full in:
Options- A. 6 hrs
- B. 20/3 hrs
- C. 7 hrs
- D. 15/2 hrs Discuss
- 2. Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:
Options- A. 10
- B. 12
- C. 14
- D. 16 Discuss
- 3. A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
Options- A. 3 hrs 15 min
- B. 3 hrs 45 min
- C. 4 hrs 15 min
- D. 4 hrs 1 Discuss
- 4. A pump can fill a tank with water in 2 hours. Because of a leak, it took 213 hours to fill the tank. The leak can drain all the water of the tank in:
Options- A. 7 hours
- B. 8 hours
- C. 12 hours
- D. 14 hours Discuss
- 5. Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?
Options- A. 10 min. 20 sec.
- B. 11 min. 45 sec.
- C. 12 min. 30 sec.
- D. 14 min. 40 sec. Discuss
- 6. A and B can fill the tank in 60 min and 90 min. There is a leak at 3/4th of the height. If leak is opened alone, it takes 36 min to empty till 3/4th the height. Find the time taken to fill the tank if all of the taps and the leak are opened simultaneously.
Options- A. 39
- B. 27
- C. 37
- D. 33 Discuss
- 7. A water tank is two-fifth full.Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes.If both the pipes are open,how long will it take to empty or fill the tank completely?
Options- A. 6 min.to empty
- B. 6 min.to fill
- C. 9 min.to empty
- D. 9 min.to fill Discuss
- 8. A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 m3 . The emptying capacity of the tank is 10 m3 per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?
Options- A. 50 m^3/min
- B. 60 m^3/min
- C. 72 m^3/min
- D. None of these Discuss
- 9. Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 3 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill ?
Options- A. 8.21 min
- B. 8 min
- C. 8.57 min
- D. 8.49 min Discuss
- 10. Two pipes can 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 minutes. The capacity of the tank is:
Options- A. 60 gallons
- B. 100 gallons
- C. 120 gallons
- D. 180 gallons Discuss
Pipes and Cistern problems
Search Results
Correct Answer: 7 hrs
Explanation:
Now, it is the turn of A and B (3/20) part is filled by A and B in 1 hour.
Therefore, Total time taken to fill the tank =(6+1)hrs= 7 hrs
Correct Answer: 14
Explanation:
Part filled in 2 hours = 2/6=1/3
Remaining part =
(A + B)'s 7 hour's work = 2/3
(A + B)'s 1 hour's work = 2/21
C's 1 hour's work = { (A + B + C)'s 1 hour's work } - { (A + B)'s 1 hour's work }
=1/6-2/21 = 1/14
C alone can fill the tank in 14 hours.
Correct Answer: 3 hrs 45 min
Explanation:
Time taken by one tap to fill half of the tank = 3 hrs.
Part filled by the four taps in 1 hour =4*1/6 =2/3
Remaining part =
=> x =
So, total time taken = 3 hrs. 45 mins.
Correct Answer: 14 hours
Explanation:
If the total area of pump=1 part
The pumop take 2 hrs to fill 1 part
The pumop take1 hour to fill 1/2 portion
Due to lickage
The pumop take 7/3 hrs to fill 1 part
The pumop take1 hour to fill 3/7 portion
Now the difference of area = (1/2-3/7)=1/14
This 1/14 part of water drains in 1 hour
Total area=1 part of water drains in (1x14/1)hours= 14 hours
So the leak can drain all the water of the tank in 14 hours.
Leak will empty the tank in 14 hrs
Correct Answer: 14 min. 40 sec.
Explanation:
Part filled in 4 minutes =4(1/15+1/20) = 7/15
Remaining part =(1-7/15) = 8/15
Part filled by B in 1 minute =1/20 : 8/15 :: 1:x
x = (8/15*1*20) =
The tank will be full in (4 min. + 10 min. + 40 sec.) = 14 min. 40 sec
Correct Answer: 39
Correct Answer: 6 min.to empty
Explanation:
Clearly,pipe B is faster than pipe A and so,the tank will be emptied.
part to be emptied = 2/5
part emptied by (A+B) in 1 minute=
so, the tank will be emptied in 6 min
Correct Answer: 50 m^3/min
Explanation:
Let the filling capacity of the pump be x /min.
Then, emptying capacity of the pump=(x+10) /min.
so,
Correct Answer: 8.57 min
Explanation:
1/10 + 1/15 = 1/6 x 3 = 1/2
1 - 1/2 = 1/2
1/10 + 1/15 - 1/x = 1/2
x = 8.57 min
Correct Answer: 120 gallons
Explanation:
Work done by the waste pipe in 1 minute = [-ve sign means emptying]
Volume of part = 3 gallons
Volume of whole = (3 x 40) gallons = 120 gallons.
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