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A swimming pool is fitted with three pipes. The first two pipes working simultaneously fill the pool in the same time as the third pipe alone. The second pipe alone fills the pool 1 hours faster than the first pipe and 4 hours slower than the third pipe. In what time (approx) will the second and third pipes together fill the pool?
  • a)
    3 hours
  • b)
    3.75 hours
  • c)
    3.21 hours
  • d)
    4.75 hours
  • e)
    5.75 hours
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A swimming pool is fitted with three pipes. The first two pipes workin...
Let time required by the first, second and third pipes be x, y and z respectively.
1/x + 1/y = 1/z ---eq 1
y = x - 1 ---eq 2
y = z + 4 ---eq 3
writing eq1 in terms of y we get
1/(y+1) + 1/y = 1/(y-4)
y2 - 8y - 4 = 0
y = [8 +- (80)1/2]/2 = 8.5(approx)
Cant take negative value
z = 4.5 hrs
For y and z time taken = 1 / (1/4.5 + 1/8.5) = 153/52 hrs = 3 (approx) 
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Community Answer
A swimming pool is fitted with three pipes. The first two pipes workin...
Given Information:
- First pipe fills the pool in x hours.
- Second pipe fills the pool in (x-1) hours.
- Third pipe fills the pool in (x+4) hours.

Approach:
- Let's assume the total capacity of the pool is 1 unit.
- The rate of filling of the first pipe = 1/x units per hour.
- The rate of filling of the second pipe = 1/(x-1) units per hour.
- The rate of filling of the third pipe = 1/(x+4) units per hour.

Calculation:
- According to the given information, the first two pipes working together fill the pool in the same time as the third pipe alone:
1/x + 1/(x-1) = 1/(x+4)
- Solve for x:
x = 3
- The second pipe alone fills the pool in (3-1) = 2 hours.
- The third pipe alone fills the pool in (3+4) = 7 hours.
- Now, we need to find the time taken by the second and third pipes together to fill the pool:
1/2 + 1/7 = 9/14
- Therefore, the second and third pipes together will fill the pool in approximately 14/9 = 1.55 hours.

Final Answer:
The time taken by the second and third pipes together to fill the pool is approximately 1.55 hours, which is closest to option 'a) 3 hours'.
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A swimming pool is fitted with three pipes. The first two pipes working simultaneously fill the pool in the same time as the third pipe alone. The second pipe alone fills the pool 1 hours faster than the first pipe and 4 hours slower than the third pipe. In what time (approx) will the second and third pipes together fill the pool?a)3 hoursb)3.75 hoursc)3.21 hoursd)4.75 hourse)5.75 hoursCorrect answer is option 'A'. Can you explain this answer?
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A swimming pool is fitted with three pipes. The first two pipes working simultaneously fill the pool in the same time as the third pipe alone. The second pipe alone fills the pool 1 hours faster than the first pipe and 4 hours slower than the third pipe. In what time (approx) will the second and third pipes together fill the pool?a)3 hoursb)3.75 hoursc)3.21 hoursd)4.75 hourse)5.75 hoursCorrect answer is option 'A'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A swimming pool is fitted with three pipes. The first two pipes working simultaneously fill the pool in the same time as the third pipe alone. The second pipe alone fills the pool 1 hours faster than the first pipe and 4 hours slower than the third pipe. In what time (approx) will the second and third pipes together fill the pool?a)3 hoursb)3.75 hoursc)3.21 hoursd)4.75 hourse)5.75 hoursCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A swimming pool is fitted with three pipes. The first two pipes working simultaneously fill the pool in the same time as the third pipe alone. The second pipe alone fills the pool 1 hours faster than the first pipe and 4 hours slower than the third pipe. In what time (approx) will the second and third pipes together fill the pool?a)3 hoursb)3.75 hoursc)3.21 hoursd)4.75 hourse)5.75 hoursCorrect answer is option 'A'. Can you explain this answer?.
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