document.write( "Question 356738: can anyone solve this problem? thank you for that someone.The circumference of a hind wheel of a wagon is 8 decimeters longer than that of the front wheel. In traveling one kilometer, the front wheel makes 62 ½ more revolutions than the hind wheel. Find the circumference of each wheel. \n" ); document.write( "

Algebra.Com's Answer #254725 by Alan3354(69443) $\"\"$ $\"About$

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The circumference of a hind wheel of a wagon is 8 decimeters longer than that of the front wheel. In traveling one kilometer, the front wheel makes 62 ½ more revolutions than the hind wheel. Find the circumference of each wheel.
\n" ); document.write( "-------------------
\n" ); document.write( "f = circumference of front
\n" ); document.write( "b = of rear
\n" ); document.write( "-----------
\n" ); document.write( "f = b+8
\n" ); document.write( "1 km = 10000 decimeters
\n" ); document.write( "---------
\n" ); document.write( "10000/f = revs of front
\n" ); document.write( "10000/b = revs of back
\n" ); document.write( "---------
\n" ); document.write( "10000/f = 10000/b - 62.5
\n" ); document.write( "10000/(b+8) = 10000/b - 62.5
\n" ); document.write( "10000b = 10000(b+8) - 62.5b(b+8)
\n" ); document.write( "6.25b^2 + 500b -10000b - 80000 = -10000b
\n" ); document.write( "125b^2 + 1000b - 20000b - 160000 = -20000b
\n" ); document.write( "125b^2 + 1000b - 160000 = 0
\n" ); document.write( "b^2 + 8b - 1280 = 0
\n" ); document.write( "(b - 32)*(b+40) = 0
\n" ); document.write( "b = 32 dm
\n" ); document.write( "f = 40 dm \n" ); document.write( "

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