document.write( "Question 689727: start at 12 o'clock: what will minute hand catch the hour hand (this was a problem given to me 60 yrs ago--am I right in remembering the answer to be 16 4/11?). THANKS \n" ); document.write( "
Algebra.Com's Answer #426046 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! start at 12 o'clock: when will the minute hand catch the hour hand? (this was a problem given to me 60 yrs ago--am I right in remembering the answer to be 16 4/11?) \n" ); document.write( ": \n" ); document.write( "I don't think so, won't the minute hand catch up with the hour hand after one hr? \n" ); document.write( "The hour hand will be slightly passed 1 when the minute hand catches it. \n" ); document.write( ": \n" ); document.write( "Using degrees, one hr = 30 degrees, 1 min = 6 degrees \n" ); document.write( ": \n" ); document.write( "let m = minutes after the hr when this happens \n" ); document.write( ": \n" ); document.write( "Hour hand degrees = min hand degrees \n" ); document.write( "30 + \n" ); document.write( "30 + \n" ); document.write( "mult by 2 \n" ); document.write( "60 + m = 12m \n" ); document.write( "60 = 12m - m \n" ); document.write( "60 = 11m \n" ); document.write( "m = 60/11 \n" ); document.write( "m = 5 |