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- Question
In what time would a cistern be filled by three pipes which diameters are 2 cm, 3 cm and 4 cm running together, when the largest alone can fill it is 58 minutes? The amount of water flowing in each pipe is proportional to the square of its diameter.
Options- A. 26 min
- B. 32 min
- C. 36 min
- D. 42 min
- Correct Answer
- 32 min
ExplanationGiven that the diameters of the three pipes are 2 cm, 3 cm and 4 cm
From the given data,
Amount of water from three pipes is 4 units, 9 units and 16 units.
Let the capacity of cistern be 'p' units.
? p/58 = 16
? p = 928 units.
In 1 minute, quantity to be filled by 3 pipes = 29 units
? Total time required = 928/29 = 32 minutes.
- 1. Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern ?
Options- A. 85 min
- B. 95 min
- C. 105 min
- D. 100 min Discuss
- 2. Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank ?
Options- A. 15 min 20 sec.
- B. 16 min 40 sec.
- C. 13 min 10 sec.
- D. 14 min 40 sec. Discuss
- 3. A water tank has holes. The 1st hole alone empties the tank in 9 min and 2nd hole alone empties the tank in 6 min. If water leaks out at a constant rate, how many min does it take if both the holes together empty the tank?
Options- A. 3 3/5
- B. 3/5
- C. 3 1/5
- D. 3 2/5 Discuss
- 4. A Tank is normally filled in 9 hours but takes four hours longer to fill because of a leak in its bottom. If the tank is full, the leak will empty it in ?
Options- A. 32.5 hrs
- B. 29.25 hrs
- C. 30.30 hrs
- D. 31 hrs Discuss
- 5. Pipe K fills a tank in 30 minutes. Pipe L can fill the same tank 5 times as fast as pipe K. If both the pipes were kept open when the tank is empty, how much time will it take for the tank to overflow ?
Options- A. 3 minutes
- B. 2 minutes
- C. 4 minutes
- D. 5 minutes Discuss
- 6. One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in ?
Options- A. 85 min
- B. 92 min
- C. 187 min
- D. 144 min Discuss
- 7. 3 pipes when opened for 3 hours can fill 3 buckets. How many buckets can 2 pipes open for 2 hours approximately fill?
Options- A. 2/3 buckets
- B. 2 buckets
- C. 1 bucket
- D. 4/3 bucket Discuss
- 8. A water tank is filled in 5 hours by three pipes X, Y and Z the pipe Z is thrice as fast as Y and Y is twice as fast as X. How much time will pipe X alone take to fill the water tank?
Options- A. 60 hrs
- B. 45 hrs
- C. 40 hrs
- D. 35 hrs Discuss
- 9. A tank is filled in eight hours by three pipes K, L and M. Pipe K is twice as fast as pipe L, and L is twice as fast as M. How much time will pipe L alone take to fill the tank ?
Options- A. 32 hrs
- B. 24 hrs
- C. 28 hrs
- D. 26 hrs Discuss
- 10. Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutesand 24 minutes respectively. The pipe R is closed 12 minutesbefore the tank is filled. In what time the tank is full?
Options- A. 8 (5/13) hrs
- B. 8 (4/13) hrs
- C. 7 (4/13) hrs
- D. 8 (6/13) hrs Discuss
Pipes and Cistern problems
Search Results
Correct Answer: 100 min
Explanation:
Work done by the third pipe in 1 min = 1/50 - (1/60 + 1/75) = - 1/100.
[-ve sign means emptying]
The third pipe alone can empty the cistern in 100 min.
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
1/20 : 8/15 :: 1 : k
k = (8/15 )x 1 x 20 = 10( 2/3) min = 10 min 40 sec.
The tank will be full in (4 min. + 10 min. 40 sec) = 14 min 40 sec.
Correct Answer: 3 3/5
Correct Answer: 29.25 hrs
Explanation:
Let the leak will empty the tank in x hrs
Then, 1/9 - 1/x = 1/13
x = 29.25 hrs
Correct Answer: 5 minutes
Explanation:
Let the total capacity of tank be 90 liters.
Capacity of tank filled in 1 minute by K = 3 liters.
Capacity of tank filled in 1 minute by L = 15 liters.
Therefore, capacity of the tank filled by both K and L in 1 minute = 18 liters.
Hence, time taken by both the pipes to overflow the tank = 90/18 = 5 minutes.
Correct Answer: 144 min
Explanation:
Let the slower pipe alone fill the tank in x min.
Then, faster pipe will fill it in x/3 min.
1/x + 3/x = 1/36
Correct Answer: 4/3 bucket
Explanation:
2 pipes open for 2 hours will fill = (2/3) x (2/3) x 3 = 4/3 buckets
Correct Answer: 45 hrs
Correct Answer: 28 hrs
Explanation:
1/K + 1/L + 1/M = 1/8 (Given)
Also given that K = 2L and L = 2M
=> 1/2L + 1/L + 2/L = 1/8
=> (1 + 2 + 4)/2L = 1/8
=> 2L/7 = 8
=> L = 28 hours.
Correct Answer: 8 (4/13) hrs
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