document.write( "Question 669510: Kevin traveled by car at an average speed of 29 miles per hour.\r
\n" ); document.write( "\n" ); document.write( "Then, he traveled by bike at an average speed of 6 miles per hour.\r
\n" ); document.write( "\n" ); document.write( "In total, he traveled 144 miles for 6 hours.\r
\n" ); document.write( "\n" ); document.write( "How many miles did Kevin travel by car? (Round to the nearest mile.)
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Algebra.Com's Answer #416412 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Kevin traveled by car at an average speed of 29 miles per hour.
\n" ); document.write( "Then, he traveled by bike at an average speed of 6 miles per hour.
\n" ); document.write( "In total, he traveled 144 miles for 6 hours.
\n" ); document.write( "How many miles did Kevin travel by car? (Round to the nearest mile.)
\n" ); document.write( "---------------
\n" ); document.write( "Car DATA:
\n" ); document.write( "rate = 29 mph ; distance = x miles ; time = d/r = x/29 hrs.
\n" ); document.write( "------------------
\n" ); document.write( "Bike DATA:
\n" ); document.write( "rate = 6 mph ; distance = 144-x miles ; time = d/r = (144-x)/6 hrs
\n" ); document.write( "------------------
\n" ); document.write( "Equation:
\n" ); document.write( "time + time = 6 hrs.
\n" ); document.write( "x/29 + (144-x)/6 = 6 hrs
\n" ); document.write( "-----
\n" ); document.write( "6x + 29(144-x) = 6*6*29
\n" ); document.write( "6x + 29*144 - 29x = 36*29
\n" ); document.write( "-23x = -108*29
\n" ); document.write( "x = 136.17 = 136 miles (car travel rounded down)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
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