While on a walk the other day I passed an auto body shop whose hours were 9:15am - 4:30pm. Aside from the oddly specific opening hour, I noticed that, between the two times, no digits were repeated.

(a) If I assume that I'm using a 12-hour clock, and that I'm never open at midnight, what are the longest and shortest hours of operation I can have that still have no repeated digits in my two times?

(b) What if I'm using a 24-hour clock?

[NOTE: assume no leading zeros for the hour, but leading zeros in the minute in order to always have a two-digit minutes value.]

What about..

12 Hr Clock -  Longest duration: 12:03 – 9.58 (21h 55m)

24 Hr Clock – Longest duration: 1:04 – 23:59 (22h 55m)

Posted by Harry on 2014-11-12 20:00:56