A water tank has one inlet, A and One outlet, B. A takes 5 hours to fill the empty tank, when B is not open and B takes 8 hours to empty the full tank, if the tank is three fifth full, how much time will it take to fill the tank completely when both A and B are opened simultaneously ? (in hours)
Correct Answer: |
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D) \(\large 5 \frac{1}{3} |
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Description for Correct answer:
If the tank is \( \frac{3}{5}th \) full, then remaining empty tank will be
=\( 1-\frac{3}{5}=\frac{2}{5}th \)
A and B can fill the empt tank in = \( \frac{5 \times 8}{8-5} = \frac{40}{3}hr \)
Then \( \frac{2}{5}th \) tank fill in = \( \frac{40}{3} \times \frac{2}{5} = 5\frac{1}{3}hr \)
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