After Clive assembled and wound his clock (see problem $\underline{32798}$), setting it by his grandfather's, it started running backward. How many times a day will it show the correct time?
The hour hands on Clive's clock and the correct clock will first coincide at the moment of setting the "correct" time. The next time this will happen is 6 hours after setting, when each of them will have made half a rotation. Of course, the minute hands will coincide then as well. And so on.

## Answer

4 times.