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Taps A, B and C are connected to a water tank and the rate of flow of water is 42 ltr/hr, 56 ltr/hr and 48 ltr/hr respectively. A and ill fill the tank while tap C empties the tank. If the three taps are opened simultaneously, the tank gets filled up completely in 16 hours. What is the capacity of the tank?
- a)800 ltr
- b)960 ltr
- c)2346 ltr
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Taps A, B and C are connected to a water tank and the rate of flow of ...
Understanding the Problem
To find the capacity of the tank, we need to consider the rates at which taps A, B, and C fill or empty the tank.
Flow Rates of the Taps
- Tap A: 42 liters/hour (fills the tank)
- Tap B: 56 liters/hour (fills the tank)
- Tap C: 48 liters/hour (empties the tank)
Net Flow Rate Calculation
When all three taps are opened simultaneously, the net flow rate can be calculated as follows:
- Combined rate of A and B filling: 42 + 56 = 98 liters/hour
- Rate of C emptying: 48 liters/hour
- Net flow rate: 98 - 48 = 50 liters/hour
Time to Fill the Tank
According to the problem, the tank gets completely filled in 16 hours when all three taps are opened.
Capacity of the Tank Calculation
To find the total capacity of the tank, we multiply the net flow rate by the time taken to fill the tank:
- Total Capacity = Net Flow Rate × Time
- Total Capacity = 50 liters/hour × 16 hours = 800 liters
Conclusion
The capacity of the tank is 800 liters, which corresponds to option 'A'.
Thus, the answer is confirmed as:
- a) 800 ltr
To find the capacity of the tank, we need to consider the rates at which taps A, B, and C fill or empty the tank.
Flow Rates of the Taps
- Tap A: 42 liters/hour (fills the tank)
- Tap B: 56 liters/hour (fills the tank)
- Tap C: 48 liters/hour (empties the tank)
Net Flow Rate Calculation
When all three taps are opened simultaneously, the net flow rate can be calculated as follows:
- Combined rate of A and B filling: 42 + 56 = 98 liters/hour
- Rate of C emptying: 48 liters/hour
- Net flow rate: 98 - 48 = 50 liters/hour
Time to Fill the Tank
According to the problem, the tank gets completely filled in 16 hours when all three taps are opened.
Capacity of the Tank Calculation
To find the total capacity of the tank, we multiply the net flow rate by the time taken to fill the tank:
- Total Capacity = Net Flow Rate × Time
- Total Capacity = 50 liters/hour × 16 hours = 800 liters
Conclusion
The capacity of the tank is 800 liters, which corresponds to option 'A'.
Thus, the answer is confirmed as:
- a) 800 ltr
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Community Answer
Taps A, B and C are connected to a water tank and the rate of flow of ...
Net amount of water filled in 1 hr when all the pipes are opened simultaneously = 42 + 56 ? 48 = 50 ltr
Tank gets completely filled in 16 hrs.
∴ Capacity of tank = 16*50 = 800 liters.
Tank gets completely filled in 16 hrs.
∴ Capacity of tank = 16*50 = 800 liters.
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Taps A, B and C are connected to a water tank and the rate of flow of water is 42 ltr/hr, 56 ltr/hr and 48 ltr/hr respectively. A and ill fill the tank while tap C empties the tank. If the three taps are opened simultaneously, the tank gets filled up completely in 16 hours. What is the capacity of the tank?a)800 ltrb)960 ltrc)2346 ltrd)None of theseCorrect answer is option 'A'. Can you explain this answer? for SSC CGL 2026 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Taps A, B and C are connected to a water tank and the rate of flow of water is 42 ltr/hr, 56 ltr/hr and 48 ltr/hr respectively. A and ill fill the tank while tap C empties the tank. If the three taps are opened simultaneously, the tank gets filled up completely in 16 hours. What is the capacity of the tank?a)800 ltrb)960 ltrc)2346 ltrd)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC CGL 2026 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 ltr/hr, 56 ltr/hr and 48 ltr/hr respectively. A and ill fill the tank while tap C empties the tank. If the three taps are opened simultaneously, the tank gets filled up completely in 16 hours. What is the capacity of the tank?a)800 ltrb)960 ltrc)2346 ltrd)None of theseCorrect answer is option 'A'. 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 ltr/hr, 56 ltr/hr and 48 ltr/hr respectively. A and ill fill the tank while tap C empties the tank. If the three taps are opened simultaneously, the tank gets filled up completely in 16 hours. What is the capacity of the tank?a)800 ltrb)960 ltrc)2346 ltrd)None of theseCorrect answer is option 'A'. Can you explain this answer? for SSC CGL 2026 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Taps A, B and C are connected to a water tank and the rate of flow of water is 42 ltr/hr, 56 ltr/hr and 48 ltr/hr respectively. A and ill fill the tank while tap C empties the tank. If the three taps are opened simultaneously, the tank gets filled up completely in 16 hours. What is the capacity of the tank?a)800 ltrb)960 ltrc)2346 ltrd)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC CGL 2026 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 ltr/hr, 56 ltr/hr and 48 ltr/hr respectively. A and ill fill the tank while tap C empties the tank. If the three taps are opened simultaneously, the tank gets filled up completely in 16 hours. What is the capacity of the tank?a)800 ltrb)960 ltrc)2346 ltrd)None of theseCorrect answer is option 'A'. 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 ltr/hr, 56 ltr/hr and 48 ltr/hr respectively. A and ill fill the tank while tap C empties the tank. If the three taps are opened simultaneously, the tank gets filled up completely in 16 hours. What is the capacity of the tank?a)800 ltrb)960 ltrc)2346 ltrd)None of theseCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL. Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
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