SOLUTION: How many times on a digital clock in a 24hr span will the same digit appear at least 3 times in a row?

Algebra ->  Algebra  -> Sequences-and-series -> SOLUTION: How many times on a digital clock in a 24hr span will the same digit appear at least 3 times in a row?      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 207221: How many times on a digital clock in a 24hr span will the same digit appear at least 3 times in a row?
Found 2 solutions by rfer, MathTherapy:
Answer by rfer(3374) About Me  (Show Source):
You can put this solution on YOUR website!
10,11,12
the 1 will appear 6 times

Answer by MathTherapy(365) About Me  (Show Source):
You can put this solution on YOUR website!

highlight_green%2811%29:highlight_green%2810%29
highlight_green%2811%29:highlight_green%2811%29
highlight_green%2811%29:highlight_green%2812%29
highlight_green%2811%29:highlight_green%2813%29
highlight_green%2811%29:highlight_green%2814%29
highlight_green%2811%29:highlight_green%2815%29
highlight_green%2811%29:highlight_green%2816%29
highlight_green%2811%29:highlight_green%2817%29
highlight_green%2811%29:highlight_green%2818%29
highlight_green%2811%29:highlight_green%2819%29

The digit 1 appears in these times at least 3 times in a row. These times are also both am and pm, thereby making the amount of times that they appear in a 24-hour span, highlight_green%2820%29. Can't think of any other times.