Question 939418
Divide the clock into {{{ 360 }}} degrees
In one hour, the hour hand moves
{{{ (5/60)*360 = 30 }}} degrees
So, it's rate is {{{ 30 }}} degrees/hr
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In one hr, the minute hand moves {{{ 360/1 }}}
degrees/hr
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At exactly 2:00, the hands are {{{ (10/60)*360 = 60 }}}
degrees apart with the minute hand behind
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If {{{ t }}} = fraction of 1 hr
The hour hand moves {{{ 30t }}}
The minute hand moves {{{ -60 + 360t }}}
{{{ -60 + 360t - 30t = 204 }}}
{{{ 330t = 264 }}} 
{{{ t = .8  }}}
{{{ .8*60 = 48 }}}
The time would be 2:48
( definitely get another opinion on
this. I could easily mess this up! )