Question

A can do a job in 20 hours, while A and B together can do the same in 12 hours. If they take up the job together and receive R's. 8 as wages, what is B's shar?
​

Answer 1

Answer:

B share is 4 rs bcoz they worked together and receive 8 wages,then the half of 8 wages is 4 wages

Answer 2

The share of B is Rs $3.2$.

Step-by-step explanation:

• A can do a job in 20 hours.

The work rate of A will be : $W_{A} =1/20\hspace{0.1 cm} job/hr$

• A and B together can do the same job in 12 hours.

The work rate of A will be : $W_{A+B} =1/12\hspace{0.1 cm} job/hr$

• Let the time taken by B to get the same job done be x hours.

So, $W_{A+B}} =W_{A}}+W_{B}$

            $\frac{1}{12}=\frac{1}{20}+\frac{1}{x}$

            $\frac{1}{x}=\frac{1}{12}+\frac{1}{20}$  

            $\frac{1}{x}=\frac{1}{30}$

            $x=30\hspace{0.1 cm} hrs$

Hence, The ratio of work done =   $\frac{W_{A}}{W_{B}}=\frac{\frac{1}{20}}{\frac{1}{30}}=\frac{30}{20}=\frac{3}{2}$

Now, a total of Rs 8 are paid as wages.

So, $3x+2x=8$

              $5x=8$

              $x=\frac{8}{5}$

Now, A will get Rs $3x$ and B will receive Rs $2x$.

$=\frac{2*8}{5}=3.2$

Therefore, the share of B will be Rs 3.2.