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A reservoir will be filled in 12 hours if two pipes function simultaneously. The second pipe fills the reservoir 10 hours faster than the first. How many hours will the second pipe take to fill the reservoir?
  • a)
    35 hours
  • b)
    30 hours
  • c)
    28 hours
  • d)
    20 hours
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A reservoir will be filled in 12 hours if two pipes function simultan...
Let the first pipe fill the reservoir in x hours.
Then, the second pipe can fill the reservoir in x – 10 hours.
Now, according to the question,
1/x + 1/x-10 = 1/12
⇒ 12(x – 10 + x) = x2 – 10x
⇒ 24x – 120 = x2 – 10x
⇒ x2 – 34x + 120 = 0
⇒ x2 – 30x - 4x + 120 = 0
⇒ (x – 30)(x – 4) = 0
⇒ x = 30, 4
But, x ≠ 4 (∵ x – 10 should be positive)
∴ x = 30 hours
x – 10 = 20 hours
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A reservoir will be filled in 12 hours if two pipes function simultaneously. The second pipe fills the reservoir 10 hours faster than the first. How many hours will the second pipe take to fill the reservoir?a)35 hoursb)30 hoursc)28 hoursd)20 hoursCorrect answer is option 'D'. Can you explain this answer?
Question Description
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