document.write( "Question 184212: During a work-out session, Mark either ran at a speed of 7MPH or walked at a speed of 3MPH. He completed 20 miles in 3 hours. Please help me. \r
\n" ); document.write( "\n" ); document.write( "1. Let r represent the number of miles Mark ran and w respresent the number of miles Mark walked. Write a system of equations that represents the situation.\r
\n" ); document.write( "\n" ); document.write( "2.Solve the system of equations to find how much time Mark spent running.
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Algebra.Com's Answer #138261 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
the total distance is 20 mi, so r+w=20 ... and w=20-r\r
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\n" ); document.write( "\n" ); document.write( "the total time is 3 hr ... since rate times time equals distance, time equals distance divided by rate\r
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\n" ); document.write( "\n" ); document.write( "(r/7)+(w/3)=3\r
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\n" ); document.write( "\n" ); document.write( "substituting ... (r/7)+((20-r)/3)=3\r
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\n" ); document.write( "\n" ); document.write( "subtracting 20/3 ... (r/7)-(r/3)=-11/3\r
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\n" ); document.write( "\n" ); document.write( "multiplying by 21 (LCD) ... 3r-7r=-77 ... -4r=-77\r
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\n" ); document.write( "\n" ); document.write( "dividing by -4 ... r=77/4\r
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\n" ); document.write( "\n" ); document.write( "since time equals distance divided by rate, Mark's running time is (77/4)/7 or 11/4 hr (2hr45min)
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