Two taps A and B can fill a tank in 25 min and 20 min, respectively. But taps are not opened properly, so the taps A and B allow \( \Large \Large \frac{5}{6} \)th and \( \Large \Large \frac{2}{3} \)rd part of water respectively. How long will they take to fill the tank?

A) 12 min

B) 13 min

C) 14 mm

D) 15 min

Correct answer:
D) 15 min

Description for Correct answer:
Part of the tank filled with A and B in 1 min

= \( \Large \frac{1}{25} \times \frac{5}{6}+\frac{1}{20} \times \frac{2}{3}=\frac{1}{30}+\frac{1}{30} \)

=\( \Large \frac{2}{30} = \frac{1}{15} \)

Hence, time taken to fill the tank = 15 min.

Please provide the error details in above question

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