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A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:
  • a)
    6 hours
  • b)
    10 hours
  • c)
    15 hours
  • d)
    30 hours
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A tank is filled by three pipes with uniform flow. The first two pipes...
Suppose, first pipe alone takes x hours to fill the tank .
Then, second and third pipes will take (x – 5) and (x – 9) hours respectively to fill the tank.
1/x + 1/(x – 5) = 1/(x – 9)
(x – 5 + x)/x(x – 5) =1/(x – 9)
⇒ (2x – 5)(x – 9) = x(x – 5)
⇒ x2 – 18x + 45 = 0
⇒ (x – 15)(x – 3) = 0
⇒ x = 15 [Neglecting x = 3]
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A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:a)6 hoursb)10 hoursc)15 hoursd)30 hoursCorrect answer is option 'C'. Can you explain this answer?
Question Description
A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:a)6 hoursb)10 hoursc)15 hoursd)30 hoursCorrect answer is option 'C'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:a)6 hoursb)10 hoursc)15 hoursd)30 hoursCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:a)6 hoursb)10 hoursc)15 hoursd)30 hoursCorrect answer is option 'C'. Can you explain this answer?.
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