Weird clock

Algebra Level 1

An analog clock has 17 hours in each cycle (regular analog clocks have 12). How many different times are possible assuming only times using seconds, minutes, and hours are possible in one cycle?

The answer is 61200.

1 solution

David Velasco
Jan 9, 2019

The times are 1:00:00, 1:00:01, ... 1:01:00, 1:01:01, ... 2:00:00, ... 3:00:00, ... 17:59:59. As there are $\boxed{60}$ seconds in a minute, $\boxed{60}$ minutes in an hour, and the clock rolls over every $\boxed{17}$ hours, there are $60 \times 60 \times 17$ , or $61200$ , possible times.

Weird clock

The answer is 61200.

1 solution

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