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 Five Mileposts (Posted on 2013-05-31)
On my way to Philadelphia I pass five mileposts that indicate the distance I still have to travel to Philadelphia. The mileposts are at fixed intervals. Each milepost has a two-digit number, and together the five mileposts use all the digits from 0 to 9 exactly once.

(i) What is the smallest distance that the closest milepost can be from Philadelphia?

(ii) What is the maximum distance that the closest milepost can be from Philadelphia?

***Mileposts don't begin with 0, that is, no milepost can contain a leading zero.

 Submitted by K Sengupta Rating: 3.0000 (1 votes) Solution: (Hide) (i) The smallest distance of the closest milepost from Philadelphia is 10 miles. (ii) The maximum distance of the closest milepost from Philadelphia is 54 miles. For a detailed explanation, refer to the solution submitted by Charlie in this location.

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