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Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
- A16 hours
- B15 hours
- C18 hours
- D17 hours
Correct answer: C
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CCommunity
18 hours
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NA
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CCommunity
Solution;
Given :
Pipe A can fill the tank in 6 hours.
With leakage at the bottom it takes 9 hours to fill the tank.
If in 6 hours pipe A can fill the whole tank, then in 1 hour it can fill,
=> 1/6 part of the tank
If in 9 hours the pipe with leakage fill the whole tank, then in 1 hour it can fill,
=> 1/9 part of the tank
The leakage can emty the tank in,
=> 1/6 - 1/9
=> 1/18 part of the tank
Therefore the leakage takes 18 hours to empty the tank.
The correct option is C). 18 hours
Given :
Pipe A can fill the tank in 6 hours.
With leakage at the bottom it takes 9 hours to fill the tank.
If in 6 hours pipe A can fill the whole tank, then in 1 hour it can fill,
=> 1/6 part of the tank
If in 9 hours the pipe with leakage fill the whole tank, then in 1 hour it can fill,
=> 1/9 part of the tank
The leakage can emty the tank in,
=> 1/6 - 1/9
=> 1/18 part of the tank
Therefore the leakage takes 18 hours to empty the tank.
The correct option is C). 18 hours