When a bucket is half full,the weight of the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Let the weight of the empty bucket be $x \ kg$ and the weight of the water when the bucket is completely full be $y \ kg$.According to the problem

Vedclass · Accepted Answer

$13$

Vedclass · Answer

(D) Let the weight of the empty bucket be $x \ kg$ and the weight of the water when the bucket is completely full be $y \ kg$.According to the problem:$x + \frac{y}{2} = 10$  $(i)$$x + \frac{2y}{3} = 11$  $(ii)$Subtracting equation $(i)$ from equation $(ii)$:$(x + \frac{2y}{3}) - (x + \frac{y}{2}) = 11 - 10$$\frac{2y}{3} - \frac{y}{2} = 1$$\frac{4y - 3y}{6} = 1$$\frac{y}{6} = 1 \implies y = 6 \ kg$Substituting $y = 6$ in equation $(i)$:$x + \frac{6}{2} = 10$$x + 3 = 10 \implies x = 7 \ kg$The total weight when the bucket is completely full is $x + y = 7 + 6 = 13 \ kg$.

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?

Similar Questions

$\mathop {\lim }\limits_{x \to 0} \frac{{\sin^2 x}}{{\sqrt{2} - \sqrt{1 + \cos x}}}$ equals

If in a $\triangle ABC$,$\frac{1}{a+c} + \frac{1}{b+c} = \frac{3}{a+b+c}$,then $\angle C$ is equal to (in $^{\circ}$)

How many types of sporophylls are found in Pteridophytes?

In which of the following does the inert pair effect play an important role?

Equimolar solutions of the following were prepared in water separately. Which one of the solutions will record the highest $pH$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module