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Taps A, B and C are connected to a water tank and the rate of flow of water is 42 litres/hr, 56 litres/hr and 48 litres/hr respectively. Taps A and B fill the tank while tap C empties the tank. If all the three-taps are opened simultaneously, the tank gets completely filled up in 16 hrs. What is the capacity of the tank?
- a)960 litres
- b)2346 litres
- c)1600 litres
- d)800 litres
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Taps A, B and C are connected to a water tank and the rate of flow of ...
Capacity of the tank = (42 + 56 - 48) × 16 = 800 litres
Most Upvoted Answer
Taps A, B and C are connected to a water tank and the rate of flow of ...
To solve this problem, let's first find the rate at which the tank is being filled and emptied by each tap.
Let the rate at which tap A fills the tank be x liters/hr.
Let the rate at which tap B fills the tank be y liters/hr.
Let the rate at which tap C empties the tank be z liters/hr.
According to the given information:
x + y - z = 42 (Equation 1) - as the tank is being filled by taps A and B, and emptied by tap C.
We also know that if all three taps are opened simultaneously, the tank gets completely filled up in 16 hrs. Therefore, the capacity of the tank can be calculated as follows:
Capacity of tank = (x + y - z) * 16 (Equation 2)
We need to find the capacity of the tank, so we need to solve Equations 1 and 2 simultaneously.
Solving Equations 1 and 2:
x + y - z = 42
(x + y - z) * 16 = Capacity of tank
Substituting the value of (x + y - z) from Equation 1 into Equation 2:
42 * 16 = Capacity of tank
Capacity of tank = 672 liters
Therefore, the capacity of the tank is 672 liters, which is not among the given options.
Hence, the correct answer is option 'E' (None of these).
Note: It seems like there may be an error in the given options, as none of them match the calculated capacity of the tank.
Let the rate at which tap A fills the tank be x liters/hr.
Let the rate at which tap B fills the tank be y liters/hr.
Let the rate at which tap C empties the tank be z liters/hr.
According to the given information:
x + y - z = 42 (Equation 1) - as the tank is being filled by taps A and B, and emptied by tap C.
We also know that if all three taps are opened simultaneously, the tank gets completely filled up in 16 hrs. Therefore, the capacity of the tank can be calculated as follows:
Capacity of tank = (x + y - z) * 16 (Equation 2)
We need to find the capacity of the tank, so we need to solve Equations 1 and 2 simultaneously.
Solving Equations 1 and 2:
x + y - z = 42
(x + y - z) * 16 = Capacity of tank
Substituting the value of (x + y - z) from Equation 1 into Equation 2:
42 * 16 = Capacity of tank
Capacity of tank = 672 liters
Therefore, the capacity of the tank is 672 liters, which is not among the given options.
Hence, the correct answer is option 'E' (None of these).
Note: It seems like there may be an error in the given options, as none of them match the calculated capacity of the tank.
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Taps A, B and C are connected to a water tank and the rate of flow of water is 42 litres/hr, 56 litres/hr and 48 litres/hr respectively. Taps A and B fill the tank while tap C empties the tank. If all the three-taps are opened simultaneously, the tank gets completely filled up in 16 hrs. What is the capacity of the tank?a)960 litresb)2346 litresc)1600 litresd)800 litrese)None of theseCorrect answer is option 'D'. Can you explain this answer?
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Taps A, B and C are connected to a water tank and the rate of flow of water is 42 litres/hr, 56 litres/hr and 48 litres/hr respectively. Taps A and B fill the tank while tap C empties the tank. If all the three-taps are opened simultaneously, the tank gets completely filled up in 16 hrs. What is the capacity of the tank?a)960 litresb)2346 litresc)1600 litresd)800 litrese)None of theseCorrect answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Taps A, B and C are connected to a water tank and the rate of flow of water is 42 litres/hr, 56 litres/hr and 48 litres/hr respectively. Taps A and B fill the tank while tap C empties the tank. If all the three-taps are opened simultaneously, the tank gets completely filled up in 16 hrs. What is the capacity of the tank?a)960 litresb)2346 litresc)1600 litresd)800 litrese)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Taps A, B and C are connected to a water tank and the rate of flow of water is 42 litres/hr, 56 litres/hr and 48 litres/hr respectively. Taps A and B fill the tank while tap C empties the tank. If all the three-taps are opened simultaneously, the tank gets completely filled up in 16 hrs. What is the capacity of the tank?a)960 litresb)2346 litresc)1600 litresd)800 litrese)None of theseCorrect answer is option 'D'. Can you explain this answer?.
Taps A, B and C are connected to a water tank and the rate of flow of water is 42 litres/hr, 56 litres/hr and 48 litres/hr respectively. Taps A and B fill the tank while tap C empties the tank. If all the three-taps are opened simultaneously, the tank gets completely filled up in 16 hrs. What is the capacity of the tank?a)960 litresb)2346 litresc)1600 litresd)800 litrese)None of theseCorrect answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Taps A, B and C are connected to a water tank and the rate of flow of water is 42 litres/hr, 56 litres/hr and 48 litres/hr respectively. Taps A and B fill the tank while tap C empties the tank. If all the three-taps are opened simultaneously, the tank gets completely filled up in 16 hrs. What is the capacity of the tank?a)960 litresb)2346 litresc)1600 litresd)800 litrese)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Taps A, B and C are connected to a water tank and the rate of flow of water is 42 litres/hr, 56 litres/hr and 48 litres/hr respectively. Taps A and B fill the tank while tap C empties the tank. If all the three-taps are opened simultaneously, the tank gets completely filled up in 16 hrs. What is the capacity of the tank?a)960 litresb)2346 litresc)1600 litresd)800 litrese)None of theseCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Taps A, B and C are connected to a water tank and the rate of flow of water is 42 litres/hr, 56 litres/hr and 48 litres/hr respectively. Taps A and B fill the tank while tap C empties the tank. If all the three-taps are opened simultaneously, the tank gets completely filled up in 16 hrs. What is the capacity of the tank?a)960 litresb)2346 litresc)1600 litresd)800 litrese)None of theseCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC.
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Taps A, B and C are connected to a water tank and the rate of flow of water is 42 litres/hr, 56 litres/hr and 48 litres/hr respectively. Taps A and B fill the tank while tap C empties the tank. If all the three-taps are opened simultaneously, the tank gets completely filled up in 16 hrs. What is the capacity of the tank?a)960 litresb)2346 litresc)1600 litresd)800 litrese)None of theseCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Taps A, B and C are connected to a water tank and the rate of flow of water is 42 litres/hr, 56 litres/hr and 48 litres/hr respectively. Taps A and B fill the tank while tap C empties the tank. If all the three-taps are opened simultaneously, the tank gets completely filled up in 16 hrs. What is the capacity of the tank?a)960 litresb)2346 litresc)1600 litresd)800 litrese)None of theseCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Taps A, B and C are connected to a water tank and the rate of flow of water is 42 litres/hr, 56 litres/hr and 48 litres/hr respectively. Taps A and B fill the tank while tap C empties the tank. If all the three-taps are opened simultaneously, the tank gets completely filled up in 16 hrs. What is the capacity of the tank?a)960 litresb)2346 litresc)1600 litresd)800 litrese)None of theseCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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