document.write( "Question 963617: Per, Paul, and Mary are starting at the same time walking around a circular track in the same direction. Peter takes 1/2 hr to walk around the track. Paul takes 5/12 hour and Mary takes 1/3 hour. How many times will each person go around the track before all three meet again at the startling line? \n" ); document.write( "
Algebra.Com's Answer #588752 by ankor@dixie-net.com(22740)\"\" \"About 
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Per, Paul, and Mary are starting at the same time walking around a circular track in the same direction.
\n" ); document.write( " Peter takes 1/2 hr to walk around the track.
\n" ); document.write( " Paul takes 5/12 hour and
\n" ); document.write( " Mary takes 1/3 hour.
\n" ); document.write( "How many times will each person go around the track before all three meet again at the startling line?
\n" ); document.write( ";
\n" ); document.write( "Let's convert this to minutes, get rid of those annoying fractions!
\n" ); document.write( ":
\n" ); document.write( "Peter: 30 min
\n" ); document.write( "Paul: 25 min
\n" ); document.write( "Mary: 20 min
\n" ); document.write( ":
\n" ); document.write( "Find the least common multiple using prime factoring
\n" ); document.write( "30: 2*3*5
\n" ); document.write( "25: 5 * 5
\n" ); document.write( "20: 2*2*5
\n" ); document.write( "LCM: 2*2*3*5*5 = 300 min, all at the starting line again
\n" ); document.write( "then
\n" ); document.write( "Peter: 300/30 = 10 times
\n" ); document.write( "Paul: 300/25 = 12 time
\n" ); document.write( "Mary: 300/20 = 15 times \n" ); document.write( "
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