document.write( "Question 296249: Maria bicycles 6km/h faster than Carlos. In the same time it takes Carlos to bicycle 33km, Maria can bicycle 51km. How fast does each person travel?\r
\n" ); document.write( "\n" ); document.write( "Carlos:
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Algebra.Com's Answer #213514 by stanbon(75887)\"\" \"About 
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Maria bicycles 6km/h faster than Carlos.
\n" ); document.write( "In the same time it takes Carlos to bicycle 33km, Maria can bicycle 51km.
\n" ); document.write( "How fast does each person travel?
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\n" ); document.write( "Carlos DATA:
\n" ); document.write( "distance = 33 km ; rate = x km/hr ; time = d/r = 33/x hrs
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\n" ); document.write( "Maria DATA:
\n" ); document.write( "distance = 51 km ; rate = x+6 km/hr ; time = 51/(x+6) hrs
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\n" ); document.write( "Equation:
\n" ); document.write( "distance = distance
\n" ); document.write( "33/x = 51/(x+6)
\n" ); document.write( "33x + 33*6 = 51x
\n" ); document.write( "18x = 6*33
\n" ); document.write( "x = (6/18)(33)
\n" ); document.write( "x = 11 km/hr (Carlos rate)
\n" ); document.write( "x+6 = 17 km/hr (Marian rate)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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