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)\"\" \"About 
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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( "


\n" ); document.write( "Now go back and substitue 9 for J and solve for W\r
\n" ); document.write( "\n" ); document.write( "using the first equation ( 2J + 3W = 30 )
\n" ); document.write( "2(9) + 3W = 30 Multiply
\n" ); document.write( "18 + 3W = 30 Subtract
\n" ); document.write( "3W = 12 Divide
\n" ); document.write( "W = 4\r
\n" ); document.write( "\n" ); document.write( "So she can walk 4 MPH \n" ); document.write( "

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