Another clock puzzle

EASY one for your kids!

The two hands on a clock are exactly at right-angles, when will that next occur?

32 minutes and 44 seconds later.

Originally posted by Sebastian Yap
32 minutes and 44 seconds later.

Close enough! 😀

Every hour, the minute hand goes 360 degrees and the hour hand 30 degrees, so X hours = minute hand gains 330 times X degrees. To gain exactly 180 degrees that's 180 / 330 hrs, or 60 x 180 / 330 minutes. That is, 32 minutes and 43 7/11 seconds.. doesn't even depends on whether you start at the hands at the 3 o'clock or the 9 o'clock position.