document.write( "Question 20748: Fitness Fitness For 30 minutes you do a combination of walking and jogging. At the end of your workout your pedometer displays a total of 2.5 miles. You know that you walk 0.05 mile per minute and jog 0.1 mile per minute. For how much time were you walking? For how much time were you jogging? Use a verbal model to write and solve a system of linear equations. \n" ); document.write( "
Algebra.Com's Answer #9968 by kapilsinghi(68)![]() ![]() ![]() You can put this solution on YOUR website! Q: Fitness Fitness For 30 minutes you do a combination of walking and jogging. At the end of your workout your pedometer displays a total of 2.5 miles. You know that you walk 0.05 mile per minute and jog 0.1 mile per minute. For how much time were you walking? For how much time were you jogging? Use a verbal model to write and solve a system of linear equations.\r \n" ); document.write( "\n" ); document.write( "Ans: Let Jogging Time be x minutes \n" ); document.write( " so Walking Time is 30 - x Minutes\r \n" ); document.write( "\n" ); document.write( "My Jogging Speed = 0.1 mile/minute \n" ); document.write( "so Distance i jogged = 0.1*x\r \n" ); document.write( "\n" ); document.write( "My Walking Speed = 0.05 mile/minute \n" ); document.write( "so Distance i walked = 0.05*(30-x)\r \n" ); document.write( "\n" ); document.write( "total distance covered = 2.5 Miles\r \n" ); document.write( "\n" ); document.write( "So 0.1*x + 0.05*(30-x) = 2.5 \n" ); document.write( " 0.1x + 1.5 - 0.05x = 2.5 \n" ); document.write( " 0.05x = 2.5 - 1.5 \n" ); document.write( " 0.05x = 1 \n" ); document.write( " x = 1/0.05 \n" ); document.write( " x = 20\r \n" ); document.write( "\n" ); document.write( "So the time i spent jooging = x = 20 Minutes \n" ); document.write( " and the time i spent walking = 30 - x = 10 Minutes\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Kapil \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |