document.write( "Question 522519: A local hospital is holding a two day marathon walk to raise funds for a new research facility. The total distance of the marathon is 26.2 miles. On the first day, Martha starts walking at 10:00 am. She walks 4 miles per hour. Carol starts two hours later than Martha but decides to run to catch up to Martha. Carol runs at a speed of 6 miles per hour. Carol wants to reduce the time she takes to catch up to Martha by 1 hour. How can she do this by changing her starting time? How can she do this by changing her speed? \n" ); document.write( "
Algebra.Com's Answer #346898 by mananth(16946)\"\" \"About 
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Martha --speed = 4mph---10.00 am\r
\n" ); document.write( "\n" ); document.write( "Carol----speed ---6mph---12.00 noon\r
\n" ); document.write( "\n" ); document.write( "x/4-2=x/6\r
\n" ); document.write( "\n" ); document.write( "x/4-x/6=2
\n" ); document.write( "(6x-4x)/24=2
\n" ); document.write( "2x=48
\n" ); document.write( "x=24 distance where she catches up\r
\n" ); document.write( "\n" ); document.write( "Carol distance =24
\n" ); document.write( "carol speed = 6\r
\n" ); document.write( "\n" ); document.write( "carol time = 4 hours\r
\n" ); document.write( "\n" ); document.write( "reduce by 1 hour\r
\n" ); document.write( "\n" ); document.write( "carol time will be 3 hours
\n" ); document.write( "distance = 24miles
\n" ); document.write( "speed = 24/3 = 8 mph
\n" ); document.write( "
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