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Answers
13.
∵ A pipe can fill a cistern in 6 hrs.
∴ The part of cistern filled by this pipe in an hour = 1/6 th part
∵ Due to a leak in the bottom it is filled in 7 hrs.
∴ '' '' '' the part of cistern filled in an hour = 1/7 th part .
Now,
This leak can empty the part of cistern in an hour = (1/6 - 1/7) th part
= 1/42 th part.
The total time taken by this leak to empty = 42 hrs.
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14.
There are two inlets A and B and an outlet .
∵ A can fill it in 15 hrs.
∴ Part of cistern filled by A in an hour = 1/15 th part.
∵ B can fill it in 20 hrs.
∴ Part of cistern filled by B in an hour = 1/20 th part.
∵ An outlet can empty in 12 hrs.
∴ Part of cistern emptied by an outlet in an hour = 1/12 th part.
- If all three pipes are opened together.
Then
The part of cistern will fill in an hour = (1/15 + 1/20 ) - 1/12
= 7/60 - 1/12 = 2/60 = 1/30 th
So
It will be filled in 30 hrs.
Thank u.
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