document.write( "Question 354809: Mary and Nick left from the same place at the same time and drove in opposite directions along a straight road. Mar3 traveled 15 miles faster than Nick. After three hours, they were 315 miles apart. Find the rate at which each traveled. \n" ); document.write( "
Algebra.Com's Answer #253480 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Mary and Nick left from the same place at the same time and drove in opposite directions along a straight road. Mary traveled 15 miles faster than Nick. After three hours, they were 315 miles apart. Find the rate at which each traveled. \n" ); document.write( "------ \n" ); document.write( "Let Mark rate be x mph \n" ); document.write( "Then Mary rate is x+15 mph \n" ); document.write( "---- \n" ); document.write( "They are separating at a rate of 2x+15 mph \n" ); document.write( "------------------------ \n" ); document.write( "Equation: \n" ); document.write( "distance = rate*time \n" ); document.write( "315 = (2x+15)*3 \n" ); document.write( "105 = 2x+15 \n" ); document.write( "2x = 90 \n" ); document.write( "x = 45 mph (Mark's rate) \n" ); document.write( "x+15 = 60 mph (Mary's rate) \n" ); document.write( "============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |