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Mileage Muse (Posted on 2013-03-26) Difficulty: 3 of 5
Saul was driving to work one day, when he glanced at his car's dashboard and noticed something interesting about his mileage indicators. His odometer, which shows the miles driven since the car was manufactured, hit 12,345.6 miles, and his trip meter read 123.4 miles. So, the meter matches the first four digits on the odometer.

(i) How far must Saul drive - before this happens again?

(ii) What is the smallest distance that Saul can drive so that the two odometers have all ten digits between them, but share no digits in common?

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
(i) 1010.1 miles.
This gives the readings on the two odometers as 13355.7 and 133.5.

(ii) 861.1 miles.
This gives the readings on the two odometers as 13206.7 and 984.5 miles.

Sourcefor Part-II: Hard-to-solve Math Puzzles by Derrick Niederman.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): Part 1 with no resetJer2013-03-27 08:03:16
re: Part 1 with no resetCharlie2013-03-26 14:39:54
Solutioncomputer solutionCharlie2013-03-26 14:33:03
A solution for 2 (button pressing)Jer2013-03-26 14:08:40
Part 1 with no resetJer2013-03-26 12:49:55
re: Part 1 onlyJer2013-03-26 12:37:12
Some ThoughtsPart 1 onlybroll2013-03-26 11:31:08
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