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.

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.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
And several more miles to go (spoiler)	Dej Mar	2013-06-01 00:53:18
solution	Charlie	2013-05-31 12:20:41
re: No Subject	Steve Herman	2013-05-31 12:18:50
No Subject	Ady TZIDON	2013-05-31 11:56:36
No Subject	Ady TZIDON	2013-05-31 11:56:36
No Subject	Ady TZIDON	2013-05-31 11:56:36
No Subject	Ady TZIDON	2013-05-31 11:56:35
No Subject	Ady TZIDON	2013-05-31 11:56:35
No Subject	Ady TZIDON	2013-05-31 11:56:35
No Subject	Ady TZIDON	2013-05-31 11:56:35
No Subject	Ady TZIDON	2013-05-31 11:56:35
No Subject	Ady TZIDON	2013-05-31 11:56:35
No Subject	Ady TZIDON	2013-05-31 11:56:35
No Subject	Ady TZIDON	2013-05-31 11:56:35
No Subject	Ady TZIDON	2013-05-31 11:56:34
No Subject	Ady TZIDON	2013-05-31 11:56:34
No Subject	Ady TZIDON	2013-05-31 11:56:34
No Subject	Ady TZIDON	2013-05-31 11:56:34
No Subject	Ady TZIDON	2013-05-31 11:56:34
No Subject	Ady TZIDON	2013-05-31 11:56:34
No Subject	Ady TZIDON	2013-05-31 11:56:34
No Subject	Ady TZIDON	2013-05-31 11:56:34
No Subject	Ady TZIDON	2013-05-31 11:56:34
No Subject	Ady TZIDON	2013-05-31 11:56:33
No Subject	Ady TZIDON	2013-05-31 11:56:33
No Subject	Ady TZIDON	2013-05-31 11:56:33

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