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Are u good in math? |
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| Jan24-05, 11:14 AM | #1 |
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Are u good in math?
Hi
I just want to know in a clock, 12’O clock both needles (hour and minute) will coincide (one over the other) My question is exactly at what time both needles will coincide again after 12’o clock Good luck. |
| Jan24-05, 11:16 AM | #2 |
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13.05
?
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| Jan24-05, 02:10 PM | #3 |
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movement of hourhand:
hour hand moves 360 degree in 12 hours. one hour is 30 degree. or 60 minutes =30 degree movement 6 minutes = 3 degrees one minute= .5 degrees. 5 minutes =2.5 degrees minute hand moves 360 degrees in 60 minutes 5 minutes = 30 degrees one minute =6 degrees at 1:05 the hour hand is at 32.5 degrees . minute hand is at 30 degrees |
| Jan24-05, 02:53 PM | #4 |
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Are u good in math?
Let [itex]\theta_h[/itex] be the angle of the hour hand away from the 12, and [itex]\theta_m[/itex] be the angle of the minute hand away from the 12. Then I think you can see that
[tex]12\,\theta_h=\theta_m+360^\circ n[/tex] where n is an integer. Now set [itex]\theta_m=\theta_h[/itex] and solve for each n. For example, the first coincidence is at [itex]\theta_{h,m}=360^\circ/11[/itex], or 1:05:27.2727... |
| Jan25-05, 01:47 AM | #5 |
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Yes, but can you do it with hour, minute and second hands all coinciding? :-)
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| Jan25-05, 02:14 AM | #6 |
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12:00
this is the only answer..... |
| Jan26-05, 01:42 AM | #7 |
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Can you prove it? :-)
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