document.write( "Question 455673: Roger can run one mile in 16 minutes. Jeff can run one mile in 14 minutes. If Jeff gives Roger a 1 minute head start, how long will it take before Jeff catches up to roger? How far will each have run? \n" ); document.write( "
Algebra.Com's Answer #312827 by stanbon(75887)\"\" \"About 
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Roger can run one mile in 16 minutes. Jeff can run one mile in 14 minutes. If Jeff gives Roger a 1 minute head start, how long will it take before Jeff catches up to roger? How far will each have run?
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\n" ); document.write( "Roger DATA:
\n" ); document.write( "rate = 1/16 mile/minute ; time = x minutes distance = rt = x/16 miles
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\n" ); document.write( "Jeff DATA:
\n" ); document.write( "rate = 1/14 mile/minute ; time = x-1 minutes ; distance = rt = (x-1)/14 miles\r
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\n" ); document.write( "Equation:
\n" ); document.write( "distance = distance
\n" ); document.write( "x/16 = (x-1)/14
\n" ); document.write( "14x = 16x-16
\n" ); document.write( "2x = 16
\n" ); document.write( "x = 8 minutes (Roger time)
\n" ); document.write( "Roger will run rt = (1/16)8 = 1/2 mile
\n" ); document.write( "x-1 = 7 minutes (Jeff time)
\n" ); document.write( "Jeff will run rt = (1/14)7 = 1/2 mile
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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