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) You can put this solution on YOUR website! 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( " |