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Pipe A will fill a tank in 24 minutes and Pipe B will fill the same tank in 36 minutes. There is a drain pipe at the bottom which will empty the tank in 30 minutes. lf the drain pipe is opened 8 minutes after pipe A and pipe B are opened, when will the tank be full?
A) 18.6 minutes
B) 15.9 minutes
C) 17.5 minutes
D) 20.3 minutes
Correct answer:
D) 20.3 minutes
Description for Correct answer:
Pipe A and Pipe B work for 8 minutes together and fill = \( \Large 8 \left(\frac{1}{24}+\frac{1}{36}\right)=\frac{5}{9} \)th of the tank
Pipe A, B and C will be able to fill \( \Large \left(\frac{1}{24}+\frac{1}{36}-\frac{1}{30}\right)= \frac{13}{360} \)th of the tank in a minute.
Therefore, the remaining \( \Large \frac{4}{9} \)th of the tank can be filled in \( \Large \frac{4}{9} \times \frac{360}{13} \) = 12.3 minutes
Totally, in 20.3 min. the entire tank will get filled.
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