UNSW MathSoc Championship Q4
Probability
Level
3
Starting from midnight (including midnight), how many times do the second hand and minute hand of a standard clock overlap in 23 hours, 59 minutes and 30 seconds?
The answer is 1416.
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1 solution
No. of times they meet just after any of them cross 12 = no. of revolutions made by second hand - no. of revolutions made by minute hand=1416.
Now, we need to see whether they meet between 23:59:30 and 23:59:00, which is negative.
Hence, the required answer =1416