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jmc

counting and probability junior

Problem

The distance between the and exits on an interstate highway is miles. If any two consecutive exits are at least miles apart, then what is the largest number of miles there can be between two consecutive exits that are between the and exits?
(A)
(B)
(C)
(D)
Solution
There are pairs of consecutive exits. To find the maximum number of miles of one of these, the other must be equal to the minimum number yielding a total of miles. The longest distance must be .
Final answer
C