Miscellaneous Question 15

  1. Pipe $A$ and $B$ can fill a tank in 10 hours and 8 hours respectively. After certain time, pipe A was closed. It took a total of 6 hours to fill the tank completely. For how many hours did pipe A work?

(1) $4 \frac{1}{4}$ hours

(2) $2 \frac{1}{2}$ hours

(3) $3 \frac{1}{3}$ hours

(4) $5 \frac{1}{3}$ hours

(5) $6 \frac{1}{2}$ hours

(IBPS Bank PO/MT CWE-V Main Exam. 31.10.2015)

Show Answer

Correct Answer: 15. (2)

Solution: 15. (2) Let pipe A remained open for $x$ hours.

According to the question, $\frac{x}{10}+\frac{6}{8}=1$

$\Rightarrow \frac{x}{10}=1-\frac{3}{4}=\frac{1}{4}$

$\Rightarrow x=\frac{10}{4}=2 \frac{1}{2}$ hours