document.write( "Question 617499: Two joggers set out at the same time from their homes 30 miles apart. They agree to meet at a point somewhere in between in two and a half hours. If the rate of one is 2 mph faster than the rate of the other, find the rate of each \n" ); document.write( "
Algebra.Com's Answer #388365 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two joggers set out at the same time from their homes 30 miles apart. \n" ); document.write( " They agree to meet at a point somewhere in between in two and a half hours. \n" ); document.write( " If the rate of one is 2 mph faster than the rate of the other, find the rate of each \n" ); document.write( ": \n" ); document.write( "let r = rate of the slower jogger \n" ); document.write( "then \n" ); document.write( "(r+2) = rate of the faster \n" ); document.write( ": \n" ); document.write( "Write a distance equation, dist = time * rate \n" ); document.write( "2.5r + 2.5(r+2) = 30 \n" ); document.write( "2.5r + 2.5r + 5 = 30 \n" ); document.write( "5r = 30 - 5 \n" ); document.write( "5r = 25 \n" ); document.write( "r = 25/5 \n" ); document.write( "r = 5 mph is the slower jogger \n" ); document.write( "and obviously \n" ); document.write( "7 mph is the faster jogger \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check the total distance, to confirm our solutions \n" ); document.write( "2.5(5) + 2.5(7) = \n" ); document.write( "12.5 + 17.5 = 30 \n" ); document.write( " |