Miscellaneous Question 8

  1. Pipe A can fill a tank in $30 $ minutes while pipe $B$ can fill it in 45 minutes. Another pipe C can empty a full tank in 60 minutes. If all three pipes are opened simultaneously, the empty tank will be filled in

(1) $\frac{2}{7}$ hour

(2) $\frac{3}{7}$ hour

(3) $\frac{4}{7}$ hour

(4) $\frac{5}{7}$ hour

(5) None of these

(Corporation Bank Specialist Officer (Marketing) Exam. 22.02.2014)

Show Answer

Correct Answer: 8. (2)

Solution: 8. (2) Part of tank filled by all three pipes in 1 minute

$=\frac{1}{30}+\frac{1}{45}-\frac{1}{60}=\frac{6+4-3}{180}$

$=\frac{7}{180}$

$\therefore$ Time taken $=\frac{180}{7}$ minutes

$=\frac{180}{7 \times 60}=\frac{3}{7}$ hour