If 5 poles are erected at equal distance between two points 20 metres apart. What is the distance between any one poles?

Options

A. 2 metres
B. 3 metres
C. 4 metres
D. 5 metres

Answer

To solve the problem of finding the distance between any two poles when 5 poles are erected at equal distances between two points that are 20 meters apart, follow these steps:

### Step-by-Step Solution:

1. **Identify the Total Distance**: The total distance between the two points A and B is given as 20 meters.

2. **Determine the Number of Gaps**: When 5 poles are erected between two points, they create 4 gaps. This is because the poles are placed between the points, and the first pole starts at the first point (A) and the last pole ends at the second point (B). Thus, the number of gaps is equal to the number of poles minus one:
\[ \text{Number of gaps} = \text{Number of poles} - 1 = 5 - 1 = 4 \]

3. **Calculate the Distance Between Each Pole**: To find the distance between any two adjacent poles, divide the total distance by the number of gaps:
\[ \text{Distance between poles} = \frac{\text{Total distance}}{\text{Number of gaps}} = \frac{20 \text{ meters}}{4} = 5 \text{ meters} \]

4. **Conclusion**: The distance between any two adjacent poles is 5 meters.

### Final Answer:
The distance between any one pole is **5 meters**.