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Question
The street that leads to Noah's house has eucalyptus trees on one of its sides. There are 51 trees from the start to the end of the street. All the trees are planted at an equal distance from one another. What is the distance between any two trees if the total distance is 200 yards?
The street that leads to Noah's house has eucalyptus trees on one of its sides. There are 51 trees from the start to the end of the street. All the trees are planted at an equal distance from one another. What is the distance between any two trees if the total distance is 200 yards?
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Solution
The correct option is D 4 yd
From the diagram, we observe:
There is 1 space between 2 trees.
There are 2 spaces between 3 trees.
There are 3 spaces between 4 trees and so on.
So, number of spaces for 51 trees = 51 – 1 = 50
Total distance = 200 yards
We know:
200÷50=4
The distance between any two trees is 4 yards.
From the diagram, we observe:
There is 1 space between 2 trees.
There are 2 spaces between 3 trees.
There are 3 spaces between 4 trees and so on.
So, number of spaces for 51 trees = 51 – 1 = 50
Total distance = 200 yards
We know:
200÷50=4
The distance between any two trees is 4 yards.
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