### Brain Teasers

# Hickory Dickory Clock

Hickory, dickory, dock, a mouse has messed up the clock. Something, at least, has messed up the old alarm clock in Randy's bedroom. Sometimes it runs backward, with the hands moving counter-clockwise.

When Randy looked at the clock yesterday morning, it showed a quarter to 10. It then ran backward for 14 hours, 6 minutes, and then forward for 5 hours, 53 minutes, and finally backward again for 10 hours, 41 minutes.

Randy's clock is a standard 12-hour analog clock.

What time will the clock now show?

When Randy looked at the clock yesterday morning, it showed a quarter to 10. It then ran backward for 14 hours, 6 minutes, and then forward for 5 hours, 53 minutes, and finally backward again for 10 hours, 41 minutes.

Randy's clock is a standard 12-hour analog clock.

What time will the clock now show?

### Hint

Remember that in adding and subtracting minutes, there are exactly 60 minutes in an hour. Randy's clock shows only 12 hours.### Answer

The clock will show 2:51, or 51 minutes after 2.In considering time, we have to think in units of 12 (hours) and 60 (minutes).

The clock showed 45 minutes after 9 when Randy first checked it.

After the first 12 hours of the 14 hours and 6 minutes of running backward, the clock was back at 45 minutes after 9. Then it ran back an additional 2 hours and 6 minutes to 39 minutes after 7.

After running forward for 5 hours and 53 minutes, the clock showed 32 minutes after 1.

After going backward again for 1 hour, the clock showed 32 minutes after 12. Then, after it ran back the remaining 9 hours and 41 minutes, it showed 51 minutes after 2.

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