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 Mileage Muse (Posted on 2013-03-26)
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?

 No Solution Yet Submitted by K Sengupta No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(2): Part 1 with no reset Comment 7 of 7 |
(In reply to re: Part 1 with no reset by Charlie)

There is no indication in part (i) that either odometer has any digit limit.   So I assumed none.

Part (ii) required it, but I pressed the reset button rather than consider a rollover as you did.

I don't think either method is wrong.  The problem is more open than expected.

 Posted by Jer on 2013-03-27 08:03:16

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