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A tank can be filled by a tap in 20 min and by another tap in 60 min. Both the tape are kept open for 5 min and then the 1st tap is shut off. After this. how much time the tank will be completely filled?
A) 20 min
B) 30 min
C) 45 min
D) 40 min
Correct answer:
D) 40 min
Description for Correct answer:
Part of the tank filled by both taps in 5 min
=\( \Large 5 \times \left(\frac{1}{20}+\frac{1}{60}\right)
= \frac{5 \times \left(6+2\right) }{120}=\frac{8}{24}=\frac{1}{3} \)
Therefore, Remaining part = \( \Large \left(1-\frac{1}{3}\right)=\frac{2}{3} \)
Therefore, \( \Large \frac{1}{60} \) part is now filled in 1 min.
Therefore, \( \Large \frac{2}{3} \) part is now filled in \( \Large 60 \times \frac{2}{3} \) = 40 mm
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