Question

Two taps A and B can fill a tank in $10$ hrs and $12$ hrs respectively. If both the taps are opened together, the tank will be full in

• A. $5\frac{6}{11}$
• B. $5\frac{3}{11}$
• C. $5\frac{4}{11}$
• D. $5\frac{5}{11}$

Answer 1

The correct option is D $5\frac{5}{11}$

$A$ $B$

$\Downarrow$ $\Downarrow$

$10hr$ $12hr$

$=\frac{1}{10}+\frac{1}{12}=\frac{6+5}{60}=\frac{11}{60}$

$=\frac{60}{11}hrs$

$=5\frac{5}{11}hrs$