Pavan is thrice as efficient as koushik. Pavan alone takes 30 days to complete a work. In how many days can koushik finish the same work?

Answer

To solve the problem, let's break it down step by step.

### Step 1: Understand the efficiency relationship
Pavan is thrice as efficient as Koushik. This means that if Koushik's efficiency is represented as 1 unit of work per day, then Pavan's efficiency would be 3 units of work per day.

### Step 2: Determine Pavan's work rate
Pavan alone takes 30 days to complete the work. Therefore, the total work can be calculated as:
\[ \text{Total Work} = \text{Work Rate} \times \text{Time} \]
Since Pavan's work rate is 3 units of work per day, the total work is:
\[ \text{Total Work} = 3 \text{ units/day} \times 30 \text{ days} = 90 \text{ units} \]

### Step 3: Calculate Koushik's work rate
Since Koushik is less efficient, we know that his efficiency is 1 unit of work per day.

### Step 4: Calculate the time taken by Koushik to complete the work
Now, we need to find out how many days Koushik would take to complete the same total work of 90 units. We can use the formula:
\[ \text{Time} = \frac{\text{Total Work}}{\text{Work Rate}} \]
Substituting the values we have:
\[ \text{Time} = \frac{90 \text{ units}}{1 \text{ unit/day}} = 90 \text{ days} \]

### Conclusion
Koushik can finish the same work in **90 days**.

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