Asked by Naomi Onye
A mathematically inclined friend emails you the following instructions: "Meet me in the cafeteria the first time after 2:00 p.m. today that the hands of a clock point in the same direction." When should you meet your friend?
* 2: 21:41
(hr : min : sec)
the hour is given , but my answers are wrong
* 2: 21:41
(hr : min : sec)
the hour is given , but my answers are wrong
Answers
Answered by
oobleck
clearly 2:21:41 is wrong. Draw the clock hands for that time.
The minute hand moves at 6°/min
The hour hand moves at 30°/hr = 0.5°/min
So, to find when the hour and minute hands point in the same direction, m minutes must have passed, so that
60+0.5m = 6m
5.5m = 60
m = 10.90909 = 10 10/11 minutes
Now express in hr:min:sec
The minute hand moves at 6°/min
The hour hand moves at 30°/hr = 0.5°/min
So, to find when the hour and minute hands point in the same direction, m minutes must have passed, so that
60+0.5m = 6m
5.5m = 60
m = 10.90909 = 10 10/11 minutes
Now express in hr:min:sec
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