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The time is 9:00. On a 12-hour clock, how many minutes elapse before the hour hand and minute hand are 28 degrees apart for the first time?

 May 23, 2020
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Hour hand starts at 270   and adds 1/2 degree per minute

 

Minute hand starts at 0   and adds 6 degrees per minute

 

270 + 1/2x   -  6x   = 28

242 = 5.5 x

x = 44 minutes  

 

9 :44             270 + 44(1/2)  -   44(6) = 28  degrees

 May 23, 2020

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