Problem:
Six trees are equally spaced along one side of a straight road. The distance from the first tree to the fourth is feet. What is the distance in feet between the first and last trees?
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Solution:
There are three spaces between the first tree and the fourth tree, so the distance between adjacent trees is feet. There are trees with five of these -foot spaces, so the distance between the first and last trees is feet.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions