Question

When a bucket is half full, the weight of the bucket and the water is $10 \,kg$. When the bucket is two-thirds full, the total weight is $11\, kg$. 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 $x kg$ and the weight of water completely full be $y\, kg$.
According to the problem,
$x+\frac{y}{2}=10\,\,\,...(i)$
and $ x+\frac{2 y}{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. $7+6=13 \,kg$