| Two taps A and Bean fill a tank in 25 min and 20 min, respectively. But taps are not opened properly, so the taps A and B allow \[\frac{5}{6}\]th and\[\frac{2}{3}\]rd part of water respectively. How long will they take to fill the tank? |
A) 12 min
B) 13 min
C) 14 min
D) 15 min
Correct Answer: D
Solution :
| Part of the tank filled with A and 8 in 1 min |
| \[=\frac{1}{25}\times \frac{5}{6}+\frac{1}{20}\times \frac{2}{3}=\frac{1}{30}+\frac{1}{30}=\frac{2}{30}=\frac{1}{15}\] |
| Hence, time taken to fill the tank = 15 min |
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