perplexus.info :: Just Math : Five Mileposts

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.

See The Solution Submitted by K Sengupta

Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: No Subject

| Comment 24 of 26 |

(In reply to No Subject by Ady TZIDON)

Ady's first (i.e, smallest) solution looks right to me (I haven't checked the other 20).

I just looked for a solution where the first sign was a single digit and the last sign had three digits, but came up empty.

Edited on May 31, 2013, 1:14 pm

Posted by Steve Herman on 2013-05-31 12:18:50

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