Find the maximum number of trees which can be planted 20 m apart on the two sides of a straight road 1760 m long.

Options

A. 174
B. 176
C. 180
D. 178

Answer

To solve the problem of finding the maximum number of trees that can be planted 20 meters apart on both sides of a straight road that is 1760 meters long, we can follow these steps:

### Step 1: Determine the number of trees that can be planted on one side of the road.
To find out how many trees can be planted on one side of the road, we need to divide the length of the road by the distance between the trees and then add one more tree for the starting point.

**Calculation:**
\[ \text{Number of trees on one side} = \frac{\text{Length of the road}}{\text{Distance between trees}} + 1 \]
\[ \text{Number of trees on one side} = \frac{1760 \text{ m}}{20 \text{ m}} + 1 \]
\[ \text{Number of trees on one side} = 88 + 1 = 89 \]

### Step 2: Calculate the total number of trees on both sides of the road.
Since there are two sides to the road, we multiply the number of trees on one side by 2.

**Calculation:**
\[ \text{Total number of trees} = 2 \times \text{Number of trees on one side} \]
\[ \text{Total number of trees} = 2 \times 89 = 178 \]

### Conclusion:
The maximum number of trees that can be planted on both sides of the road is **178**.

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