Miscellaneous Question 12
- A tank has two inlets: $A$ and $B$. A alone takes 2 hours and $B$ alone takes 3 hours to fill the empty tank completely when there is no leakage. A leakage was caused which would empty the full tank completely in ’ $x$ ’ hours when no inlet is open. Now, when only inlet A was opened, it took 3 hours to fill the empty tank completely. How much time will B alone take to fill the empty tank completely ? (in hours)
(1) 4.5
(2) 7.5
(3) 3
(4) 9
(5) 6
(IBPS Bank PO/MT CWE-V (Preliminary) 04.10.2015)
Show Answer
Correct Answer: 12. (5)
Solution: 12.(5) When pipe A is opened, part of the tank emptied by leak in 1 hour
$=\frac{1}{3}-\frac{1}{2}=\frac{2-3}{6}=-\frac{1}{6}$
$\therefore \quad$ Time taken in empting whole tank $=6$ hours
$\therefore \quad$ Part of the tank filled in 1 hour by pipe $B$
$=\frac{1}{3}-\frac{1}{6}=\frac{2-1}{6}=\frac{1}{6}$
$\therefore \quad$ Required time $=6$ hours
BETA
