Question

When a bucket is half full, the weight of the bucket and the water is $10kg$. When the bucket is two-thirds full, the total weight is $11kg$. What is the total weight (in $kg$ ), when the bucket is completely full?

• A. $12$
• B. $12\frac{1}{2}$
• C. $12\frac{2}{3}$
• D. $13$

Answer 1

Answer: (D)

Let the weight of bucket be $xkg$ and the weight of water completely full be $ykg$.
According to the problem,
$x+\frac{y}{2}=10...(i)$
and $x+\frac{2y}{3}=11...(ii)$
On solving Eqs. (i) and (ii), we get
$x=7,y=6$
$\therefore$ Total weight, when bucket is completely full is $(x+y)kg$
i.e. $7+6=13kg$