document.write( "Question 244660: Kacie started on her bike at 15 miles per hour. Colleen left 2 and 1/2 hours later traveling at a rate of 25 miles per hour. How long did it take her to catch Kacie? \n" ); document.write( "
Algebra.Com's Answer #178891 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Kacie started on her bike at 15 miles per hour. Colleen left 2 and 1/2 hours later traveling at a rate of 25 miles per hour. How long did it take her to catch Kacie? \n" ); document.write( "----------------------- \n" ); document.write( "Kacie DATA: \n" ); document.write( "rate = 15 mph ; time = x hrs ; distance = rt = 15x miles \n" ); document.write( "-------------------------- \n" ); document.write( "Colleen DATA: \n" ); document.write( "rate = 25 mph ; time = x-(5/2) hrs ; distance = rt = 25x-62.5 miles \n" ); document.write( "---------------------------- \n" ); document.write( "If one catches the other their distances are equal: \n" ); document.write( "Equation: \n" ); document.write( "15x = 25x - 62.5 \n" ); document.write( "10x = 62.5 \n" ); document.write( "x = 6.25 hrs (Kacie's time) \n" ); document.write( "--- \n" ); document.write( "x-(5/2) = 3.75 hrs (Colleen's time to catch Kacie \n" ); document.write( "============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |