Four farmers plough a field in 14 days. How long willit take for 7 farmers to plough the same field ?

Answer

To solve the problem of how long it will take for 7 farmers to plough the same field that 4 farmers can plough in 14 days, we can follow these steps:

### Step 1: Determine the time taken by one farmer
If 4 farmers can plough the field in 14 days, we first need to find out how long it would take for one farmer to do the same work alone.

\[ \text{Time taken by one farmer} = \text{Time taken by 4 farmers} \times \text{Number of farmers} \]

\[ \text{Time taken by one farmer} = 14 \text{ days} \times 4 = 56 \text{ days} \]

### Step 2: Calculate the time taken by 7 farmers
Now that we know it takes one farmer 56 days to plough the field, we can find out how long it will take for 7 farmers to do the same work. Since more farmers will take less time, we divide the time taken by one farmer by the number of farmers (7).

\[ \text{Time taken by 7 farmers} = \frac{\text{Time taken by one farmer}}{\text{Number of farmers}} \]

\[ \text{Time taken by 7 farmers} = \frac{56 \text{ days}}{7} = 8 \text{ days} \]

### Final Answer
Thus, it will take 7 farmers 8 days to plough the same field.

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