Question: Rackbrane asked his young friends at the breakfast table one morning this little question:
"How soon between the hours of five and six will the hour and minute hands of a clock be exactly at right angles?"
Answer: To be at right angles the minute hand must always be exactly fifteen minutes either behind or ahead of the hour hand. Each case would happen eleven times in the twelve hours-i.e., every 1 hour 5 5/11 minutes. Starting from nine o'clock, the eighth addition will give the case 5 hours 43 7/11 minutes. In the other case, starting from three o'clock, the second addition gives 5 hours 10 10/11 minutes.
These are the two cases between five and six, and the latter will, of course, be the sooner.
These are the two cases between five and six, and the latter will, of course, be the sooner.
No comments:
Post a Comment