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In what time would a cistern be filled by three pipes whose diameters are 1cm, 2 cm and 3 cm running together, when the largest pipe alone can fill the tank in 21 minutes? The amount of water flowing through the pipe is directly proportional to the square of its diameter.
  • a)
    10.5 minutes
  • b)
    11.5 minutes
  • c)
    12.5 minutes
  • d)
    13.5 minutes
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In what time would a cistern be filled by three pipes whose diameters ...
More the diameter more will be the water flowing through it and less will be the time taken.
Means bigger pipe will take less time to fill the tank
So, for 1 cm time, (12)/(32) = 21/t, we get t = 189
For 2 cm time, (22)/(32) = 21/t. We get t = 189/4
So total time = 1/21 + 1/189 + 4/189 = 2/27
So total time = 13.5 minutes
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Most Upvoted Answer
In what time would a cistern be filled by three pipes whose diameters ...
More the diameter more will be the water flowing through it and less will be the time taken.
Means bigger pipe will take less time to fill the tank
So, for 1 cm time, (12)/(32) = 21/t, we get t = 189
For 2 cm time, (22)/(32) = 21/t. We get t = 189/4
So total time = 1/21 + 1/189 + 4/189 = 2/27
So total time = 13.5 minutes
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In what time would a cistern be filled by three pipes whose diameters ...
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In what time would a cistern be filled by three pipes whose diameters are 1cm, 2 cm and 3 cm running together, when the largest pipe alone can fill the tank in 21 minutes? The amount of water flowing through the pipe is directly proportional to the square of its diameter.a)10.5 minutesb)11.5 minutesc)12.5 minutesd)13.5 minutese)None of theseCorrect answer is option 'D'. Can you explain this answer?
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In what time would a cistern be filled by three pipes whose diameters are 1cm, 2 cm and 3 cm running together, when the largest pipe alone can fill the tank in 21 minutes? The amount of water flowing through the pipe is directly proportional to the square of its diameter.a)10.5 minutesb)11.5 minutesc)12.5 minutesd)13.5 minutese)None of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In what time would a cistern be filled by three pipes whose diameters are 1cm, 2 cm and 3 cm running together, when the largest pipe alone can fill the tank in 21 minutes? The amount of water flowing through the pipe is directly proportional to the square of its diameter.a)10.5 minutesb)11.5 minutesc)12.5 minutesd)13.5 minutese)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In what time would a cistern be filled by three pipes whose diameters are 1cm, 2 cm and 3 cm running together, when the largest pipe alone can fill the tank in 21 minutes? The amount of water flowing through the pipe is directly proportional to the square of its diameter.a)10.5 minutesb)11.5 minutesc)12.5 minutesd)13.5 minutese)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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