At noon the minute and the hour hands overlap. In how man hours and minutes will it happen next?

1:05, once 12:00 (noon) has changed to 1:00 (the short hand at 1 and the long hand at 12) the long hand will soon shift over to the 1 indicating its 1:05

It would happen again at 1 hour and 5 minutes.

That is because at noon it is 12 p. m. and for the minute and the hour hands overlap, the next time it would happen is at 1:05 which is going to overlap again