document.write( "Question 1043646: during an afternoon practice, two track team members took the same amount of time to run 18 miles and 12 miles, respectively. if one of the track team members ran 2 miles per hour faster than the other, what is the rate of each team member? \n" ); document.write( "

Algebra.Com's Answer #658806 by stanbon(75887) $\"\"$ $\"About$

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during an afternoon practice, two track team members took the same amount of time to run 18 miles and 12 miles, respectively. if one of the track team members ran 2 miles per hour faster than the other, what is the rate of each team member?
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\n" ); document.write( "Faster runner DATA:
\n" ); document.write( "rate = x+2 mph ; distance = 18 miles ; time = d/r = 18/(x+2) hrs
\n" ); document.write( "-------
\n" ); document.write( "Slower runner DATA:
\n" ); document.write( "rate = x mph ; distance = 12 miles ; time = d/r = 12/x hrs
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\n" ); document.write( "Equation:
\n" ); document.write( "18/(x+2) = 12/x
\n" ); document.write( "-----
\n" ); document.write( "18x = 12x + 24
\n" ); document.write( "6x = 24
\n" ); document.write( "x = 4 mph (slower runner rate)
\n" ); document.write( "x+2 = 6 mph (faster runner rate)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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