A farmer decides to plant a row of trees along one side of a road. He decides to plant one tree every 15 metres. If the road is 460 metres long what is the maximum number of trees the farmer could plant?

Answer 1

To determine the maximum number of trees the farmer could plant along a 460 metre long road with a tree planted every 15 metres, we can follow these steps:

1. Calculate the number of intervals for planting trees: Since the farmer plants a tree every 15 metres, we can find the number of trees that can be planted in the length of the road by dividing the total length of the road by the distance between each tree: \[ \text{Number of intervals} = \frac{460}{15} \]

   Performing the division: \[ 460 \div 15 = 30.6667 \]

   Since we can only have whole trees, we take the integer part: \[ \text{Number of intervals} = 30 \]

2. Calculate the total number of trees: When we have 30 intervals, the number of trees is one more than the number of intervals because we also need to count the first tree at the starting point. Thus: \[ \text{Number of trees} = 30 + 1 = 31 \]

Therefore, the maximum number of trees that the farmer could plant is \( \boxed{31} \).