document.write( "Question 321168: Elena bicycles 6km/h faster than Carlos. In the same time it takes Carlos to bicycle 27km, Elena can bicycle 45km. How fast does each bicyclist travel? \n" ); document.write( "
Algebra.Com's Answer #230003 by stanbon(75887)\"\" \"About 
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Elena bicycles 6km/h faster than Carlos.
\n" ); document.write( "In the same time it takes Carlos to bicycle 27km, Elena can bicycle 45km.
\n" ); document.write( "How fast does each bicyclist travel?
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\n" ); document.write( "Carlos DATA:
\n" ); document.write( "rate = x km/h ; distance = 27 km ; time = d/r = 27/x hrs
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\n" ); document.write( "Elena DATA:
\n" ); document.write( "rate = (x+6) km/h ; distance = 45 km ; rime = d/r = 45/(x+6) hrs.
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\n" ); document.write( "Equation:
\n" ); document.write( "time = time
\n" ); document.write( "27/x = 45/(x+6)
\n" ); document.write( "27x + 27*6 = 45x
\n" ); document.write( "18x = 27*6
\n" ); document.write( "x = 9 km/h (Carlos's rate)
\n" ); document.write( "---
\n" ); document.write( "x+6 = 15 km/h (Elena's rate)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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