document.write( "Question 914370: A man bicycle 52 miles in 5 hours, travelling at 8 m.p.h for x hours and at 12 m.p.h for y hours. Find x and y. \n" ); document.write( "
Algebra.Com's Answer #555120 by ankor@dixie-net.com(22740)\"\" \"About 
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A man bicycle 52 miles in 5 hours, travelling at 8 m.p.h for x hours and at 12 m.p.h for y hours.
\n" ); document.write( " Find x and y.
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\n" ); document.write( "The time equation:
\n" ); document.write( "x + y = 5
\n" ); document.write( "x = (5-y); we can use this form for substitution
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\n" ); document.write( "The distance equation (dist = speed * time)
\n" ); document.write( "8x + 12y = 52
\n" ); document.write( "replace x with (5-y)
\n" ); document.write( "8(5-y) + 12y = 52
\n" ); document.write( "40 - 8y + 12y = 52
\n" ); document.write( "-8y + 12y = 52 - 40
\n" ); document.write( "4y = 12
\n" ); document.write( "y = 12/4
\n" ); document.write( "y = 3 hrs
\n" ); document.write( "find x
\n" ); document.write( "x + 3 = 5
\n" ); document.write( "x = 2 hrs
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\n" ); document.write( "Check this in the distance equation
\n" ); document.write( "8(2) + 12(3) = 52
\n" ); document.write( "16 + 36 = 52
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