Question 30
A clockmaker makes a 12-hour clock but with the hour and minute hands identical. An ambiguous time on this clock is one where you cannot tell what time it is, since the exact position of the two hands occurs twice in a 12-hour cycle.
For instance, the clock shown can be seen at approximately 7.23 pm and 4.37 pm so both of these times are ambiguous.
However,12.00 pm is not ambiguous, since both hands are together.
How many ambiguous times happen in the 12 hours from midday to midnight?
For instance, the clock shown can be seen at approximately 7.23 pm and 4.37 pm so both of these times are ambiguous.
However,12.00 pm is not ambiguous, since both hands are together.
How many ambiguous times happen in the 12 hours from midday to midnight?