document.write( "Question 1101341: An accountant rides a bus part of the way to work every day and walks the rest of the way. The bus averages 40 mph, and the accountant walks at a speed of 3 mph. The distance from home to work is 17 miles, and the total time for the trip is 3 hours. Find how far the accountant walks and how far he rides the bus.
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Algebra.Com's Answer #715900 by stanbon(75887) $\"\"$ $\"About$

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An accountant rides a bus part of the way to work every day and walks the rest of the way.
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\n" ); document.write( "The bus averages 40 mph, and the accountant walks at a speed of 3 mph. The distance from home to work is 17 miles, and the total time for the trip is 3 hours. Find how far the accountant walks and how far he rides the bus.
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\n" ); document.write( "40b + 3w = 17 miles
\n" ); document.write( "b + w = 3 hrs
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\n" ); document.write( "Modify::
\n" ); document.write( "40b + 3w = 17
\n" ); document.write( "3b + 3w = 9
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\n" ); document.write( "37b = 8
\n" ); document.write( "bus time = 8/37 hrs
\n" ); document.write( "distance the bus went = (8/37)40 = 8.65 miles
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\n" ); document.write( "40b + 3w = 17
\n" ); document.write( "40b + 40w = 120
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\n" ); document.write( "37w = 103
\n" ); document.write( "w = 103/37 hrs
\n" ); document.write( "Distance walked = (103/37)3 = 8.35 miles
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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