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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
