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31 Aug 2024, 15:07
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Pump A: 16
Pump C: 31
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
86% (01:53) correct
14%
(02:41)
wrong
based on 206
sessions
History
Date
Time
Result
Not Attempted Yet
A 10,000-liter water tank is being filled by two pumps, Pump A and Pump B. One of these pumps (Pump B) operates at a constant rate of 15 liters per second. After a few seconds, a third pump, Pump C, is activated, which begins drawing water from the tank. Following a period of operation, the water level in the tank stabilizes.
Determine the rate at which Pump A adds water to the tank and the rate at which Pump C withdraws water, ensuring that the water level remains constant. Select one option from each column.
Determine the rate at which Pump A adds water to the tank and the rate at which Pump C withdraws water, ensuring that the water level remains constant. Select one option from each column.
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| Pump A | Pump C | Rate (L/s) |
| 16 | ||
| 24 | ||
| 31 | ||
| 38 | ||
| 45 |
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Official Answer
Pump A: 16
Pump C: 31
31 Aug 2024, 15:14
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Great question!
To find the answer, we need to find a set of numbers where A + 15 = C
Going through the numbers:
16 + 15 = 31 (answers could be 16 and 31). Likely correct answer. Continue checking.
24 + 15 = 39 (there is no 39 in the list). No match.
31 + 15 = 46 (there is no 46 in the list). No match.
38 and 45 is not worth checking as there are no higher values for C (which would need to be 53 or 60).
Therefore, correct answer is 16, 31.
To find the answer, we need to find a set of numbers where A + 15 = C
Going through the numbers:
16 + 15 = 31 (answers could be 16 and 31). Likely correct answer. Continue checking.
24 + 15 = 39 (there is no 39 in the list). No match.
31 + 15 = 46 (there is no 46 in the list). No match.
38 and 45 is not worth checking as there are no higher values for C (which would need to be 53 or 60).
Therefore, correct answer is 16, 31.
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09 Sep 2024, 09:20
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Official Solution:
Since the water level stabilizes after a period of time, this implies that the total amount of water added to the tank by Pumps A and B equals the amount of water being withdrawn by Pump C.
or, A + 15 = C
We need to find options that match this equation.
Since the water level stabilizes after a period of time, this implies that the total amount of water added to the tank by Pumps A and B equals the amount of water being withdrawn by Pump C.
- Pump B adds water at a constant rate of 15 L/s.
- Pump A adds water at an unknown rate.
- Pump C withdraws water at an unknown rate.
or, A + 15 = C
We need to find options that match this equation.
- Test the provided rates for Pump A and Pump C: Let's evaluate the provided rates to see which pair satisfies the equation.
- If Pump A = 16 L/s:
16+15=31This is a possible solution since 31 L/s is one of the given options for Pump C. - If Pump A = 24 L/s:
24+15=39
Not a possible solution, as 39 L/s is not listed. - If Pump A = 31 L/s:
31+15=49 Not a possible solution, as 46 L/s is not listed. - If Pump A = 38 L/s:
38+15=53 Not a possible solution, as 53 L/s is not listed. - If Pump A = 45 L/s:
45+15=60 Not a possible solution, as 60 L/s is not listed.
- If Pump A = 16 L/s:
- The only combination that satisfies the equation is:
- Pump A = 16 L/s
- Pump C = 31 L/s
10 Apr 2025, 09:35
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IMPROVED VERSION OF THIS QUESTION IS HERE: two-water-pumps-pump-a-and-pump-b-are-pumping-water-into-a-partially-443546.html
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Two-part Analysis (TPA) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
