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Ram can do a work in 40 days. Hari is 4 ...

Ram can do a work in 40 days. Hari is 4 times more efficient than Ram. In how many days Hari can finish the work.

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To solve the problem step by step, we can follow these instructions: ### Step 1: Understand the given information - Ram can complete the work in 40 days. - Hari is 4 times more efficient than Ram. ### Step 2: Determine Ram's efficiency - If Ram can complete the work in 40 days, we can say that his efficiency is 1 unit of work per day. - Therefore, in 40 days, Ram completes 1 unit of work. ### Step 3: Calculate total work - Total work can be calculated as: \[ \text{Total Work} = \text{Time} \times \text{Efficiency} \] - For Ram: \[ \text{Total Work} = 40 \text{ days} \times 1 \text{ unit/day} = 40 \text{ units} \] ### Step 4: Determine Hari's efficiency - Since Hari is 4 times more efficient than Ram, his efficiency is: \[ \text{Hari's Efficiency} = 4 \times \text{Ram's Efficiency} = 4 \times 1 = 4 \text{ units/day} \] ### Step 5: Calculate the time taken by Hari to complete the work - To find out how many days Hari will take to finish the same work, we can use the formula: \[ \text{Time} = \frac{\text{Total Work}}{\text{Efficiency}} \] - For Hari: \[ \text{Time} = \frac{40 \text{ units}}{4 \text{ units/day}} = 10 \text{ days} \] ### Final Answer Hari can finish the work in **10 days**. ---
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