document.write( "Question 1163495: Amy and Betty start riding bicycles from the opposite ends of a diameter of a circular track with length 200 meters counter clockwise. Amy's speed is 6 meters/sec, and Betty's speed is 5 m/s. Amy catches up Betty how many times in 16 minutes? \n" ); document.write( "
Algebra.Com's Answer #787600 by Edwin McCravy(20055)\"\" \"About 
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document.write( "Since Amy goes 6 m/s and Betty goes 5 m/s, the curved arc distance between\r\n" );
document.write( "them shrinks by 6-5 = 1 m/s, with Amy gaining on Betty. \r\n" );
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document.write( "Amy gains on Betty 1 arc meter per second.\r\n" );
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document.write( "Amy starts out 100 arc meters behind Betty\r\n" );
document.write( "So Amy will catch up to Betty the first time in 100 seconds.\r\n" );
document.write( "Thereafter, Amy will catch up to Betty every 200 seconds.\r\n" );
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document.write( "There are 16∙60=960 seconds in 16 minutes.\r\n" );
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document.write( "Let n be the number of catch-ups Betty will make after the first one.\r\n" );
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document.write( "So 100 + n*200 <= 960\r\n" );
document.write( "          200n <= 860\r\n" );
document.write( "             n <= 4.3\r\n" );
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document.write( "So Betty will make 4 more catchups after the first, or 5 catch-ups.\r\n" );
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document.write( "Answer: 5\r\n" );
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document.write( "Edwin

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