Quantitative Aptitude Ques 1186

Question: 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?

Options:

A) 12 min

B) 13 min

C) 14 min

D) 15 min

Show Answer

Answer:

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