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?
Correct Answer: 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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