document.write( "Question 12570: This is the question: Mr. Smith was told by his doctor that he needed to excercise. On Monday he jogged for 2 hours and then walked 3 hours to cover 30 miles in total. On Tuesday he jogged for 2.5 hours and then walked 4 hours to cover 38.5 miles in total. Find his speed (in miles per hour) when he is jogging.(please help me!) \n" ); document.write( "
Algebra.Com's Answer #6414 by AdolphousC(70)![]() ![]() ![]() You can put this solution on YOUR website! This is a system of equations problem, so you need to define your variables, \n" ); document.write( "Let J = Miles per hour while jogging, and W equal miles per hour while walking.\r \n" ); document.write( "\n" ); document.write( "Now set up your two equations, your first equation will be \n" ); document.write( "2J + 3W = 30\r \n" ); document.write( "\n" ); document.write( "and your second equation will be \n" ); document.write( "2.5J + 4W = 38.5 \r \n" ); document.write( "\n" ); document.write( "Now you need to find a common coefficient, I am going to turn the coefficients for W into 12 by multiplying the top equation by 4 and the bottom one by 3.\r \n" ); document.write( "\n" ); document.write( "4( 2J + 3W = 30 ) \n" ); document.write( "3( 2.5J + 4W = 38.5 )\r \n" ); document.write( "\n" ); document.write( "Now you need to multiply, and you get \n" ); document.write( "8J + 12W = 120 \n" ); document.write( "7.5J + 12W = 115.5\r \n" ); document.write( "\n" ); document.write( "Subtract the two equations \n" ); document.write( "0.5J = 4.5 \n" ); document.write( "Divide by 0.5 \n" ); document.write( "J = 9 \n" ); document.write( "Which means she Jogs at 9MPH \n" ); document.write( "
|