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Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?
  • a)
    1 hour
  • b)
    2 hours
  • c)
    6 hours
  • d)
    8 hours
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two pipes A and B together can fill a cistern in 4 hours. Had they bee...
Let the cistern be filled by pipe A alone in x hours.
Then, pipe B will fill it in (x + 6) hours.
1/x + 1(x + 6) = 1/4
(x + 6 + x)/x (x + 6) = 1/4
⇒ x2 – 2x – 24 = 0
⇒ (x – 6)(x + 4) = 0
⇒ x = 6
[Neglecting the negative value of x]
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Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?a)1 hourb)2 hoursc)6 hoursd)8 hoursCorrect answer is option 'C'. Can you explain this answer?
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