Jyothi can do `(3)/(4)` of a job in 12 days. Mala is twice as effticient as Joythi. In how many days will mala finish the job ?

Options

A. 6 days
B. 8 days
C. 12 days
D. 16 days

Answer

To solve the problem, we will follow these steps:

### Step 1: Determine Jyothi's work rate
Jyothi can complete \( \frac{3}{4} \) of the job in 12 days. Therefore, we can find out how much of the job she can complete in one day.

**Calculation:**
- Work done by Jyothi in one day = \( \frac{3/4}{12} = \frac{3}{48} = \frac{1}{16} \) of the job per day.

### Step 2: Determine Mala's work rate
Mala is twice as efficient as Jyothi. This means that Mala can complete twice the amount of work that Jyothi can do in one day.

**Calculation:**
- Work done by Mala in one day = \( 2 \times \frac{1}{16} = \frac{2}{16} = \frac{1}{8} \) of the job per day.

### Step 3: Calculate the time taken by Mala to complete the entire job
To find out how many days Mala will take to finish the entire job, we can take the reciprocal of her work rate.

**Calculation:**
- Time taken by Mala to complete the job = \( \frac{1}{\text{Work done by Mala in one day}} = \frac{1}{\frac{1}{8}} = 8 \) days.

### Final Answer
Mala will finish the job in **8 days**.

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