Subject: General Aptitude · Chapter: Pipes and Cisterns · Exam: · Marks: · Difficulty:
A tank is fitted with two taps A and B. In how much time will the tank be full if both the taps are opened together? (SNAP, 2005) I. A is 50% more efficient than B. II. A alone takes 16 hours to fill the tank. III. B alone takes 24 hours to fill the tank.
(a)II and III only
(b)All I, II and III
(c)I and II only
(d)I and III only
(e)Any two of the three
Answer
Answer (as printed): E
Explanation
II. A's 1 hour work $= \frac{1}{16}$. Suppose B fills the tank in $x$ hours. Then, B's 1 hour work $= \frac{1}{x}$. I. Work done by A in 1 hour $= 150\%$ of $\frac{1}{x} = \left(\frac{1}{x} \times \frac{150}{100}\right) = \frac{3}{2x}$. $\therefore \frac{3}{2x} = \frac{1}{16} \Leftrightarrow x = 24$.
Explanation as extracted from the printed page; notation may be imperfect.