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A water filling pipe P is 5 times faster than second pipe Q. If Q fills a cistern in 30 minutes. How long will it take to fill the tank, when both the pipes are kept in operation simultaneous ? 
  • a)
    7 min. 
  • b)
    6 min. 
  • c)
    8 min. 
  • d)
    5 min. 
Correct answer is option 'D'. Can you explain this answer?
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A water filling pipe P is 5 times faster than second pipe Q. If Q fill...
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A water filling pipe P is 5 times faster than second pipe Q. If Q fill...
Given:
- Pipe Q fills a cistern in 30 minutes.
- Pipe P is 5 times faster than pipe Q.

To find:
- Time taken to fill the tank when both pipes are in operation simultaneously.

Approach:
- Let's assume the rate of filling the tank by pipe Q is x liters per minute.
- Since pipe P is 5 times faster than pipe Q, the rate of filling the tank by pipe P is 5x liters per minute.

Calculation:
- Let's consider the capacity of the tank as C liters.
- Pipe Q fills the tank at a rate of x liters per minute.
- Therefore, in 30 minutes, pipe Q will fill 30x liters of water.
- Pipe P fills the tank at a rate of 5x liters per minute.
- Therefore, in 30 minutes, pipe P will fill 30 * 5x = 150x liters of water.

Equating the total amount of water filled by both pipes:
- The total amount of water filled by both pipes in 30 minutes is equal to the capacity of the tank.
- 30x + 150x = C
- 180x = C

Calculating the time taken to fill the tank when both pipes are in operation:
- Let's assume the time taken to fill the tank when both pipes are in operation is t minutes.
- Pipe Q fills the tank at a rate of x liters per minute.
- Therefore, in t minutes, pipe Q will fill tx liters of water.
- Pipe P fills the tank at a rate of 5x liters per minute.
- Therefore, in t minutes, pipe P will fill 5xt liters of water.

Equating the total amount of water filled by both pipes:
- The total amount of water filled by both pipes in t minutes is equal to the capacity of the tank.
- tx + 5xt = C
- 6xt = C
- xt = C/6

Substituting the value of xt in terms of C:
- xt = C/6
- t = C/(6x)

Conclusion:
- The time taken to fill the tank when both pipes are in operation is C/(6x) minutes.
- Since the value of C and x are not given, we cannot calculate the exact time taken.
- Therefore, the answer cannot be determined based on the given information.
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A water filling pipe P is 5 times faster than second pipe Q. If Q fills a cistern in 30 minutes. How long will it take to fill the tank, when both the pipes are kept in operation simultaneous ?a)7 min.b)6 min.c)8 min.d)5 min.Correct answer is option 'D'. Can you explain this answer?
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A water filling pipe P is 5 times faster than second pipe Q. If Q fills a cistern in 30 minutes. How long will it take to fill the tank, when both the pipes are kept in operation simultaneous ?a)7 min.b)6 min.c)8 min.d)5 min.Correct answer is option 'D'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about A water filling pipe P is 5 times faster than second pipe Q. If Q fills a cistern in 30 minutes. How long will it take to fill the tank, when both the pipes are kept in operation simultaneous ?a)7 min.b)6 min.c)8 min.d)5 min.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A water filling pipe P is 5 times faster than second pipe Q. If Q fills a cistern in 30 minutes. How long will it take to fill the tank, when both the pipes are kept in operation simultaneous ?a)7 min.b)6 min.c)8 min.d)5 min.Correct answer is option 'D'. Can you explain this answer?.
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