document.write( "Question 96486This question is from textbook Sullivan: College Algebra
\n" ); document.write( ": two cyclists leave the city at the same time, one going east and the other going west. The westbound cyclist bikes 5mph faster than the eastbound cyclist. after 6 hours they are 246 miles apart. How fast is each cyclist riding? \n" ); document.write( "
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two cyclists leave the city at the same time, one going east and the other going west. The westbound cyclist bikes 5mph faster than the eastbound cyclist. after 6 hours they are 246 miles apart. How fast is each cyclist riding?
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\n" ); document.write( "West-bound DATA:
\n" ); document.write( "Rate = x+5 mph ; time = 6 hrs. ; distance = 6(x+5) = 6x+30 miles
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\n" ); document.write( "East-bound DATA:
\n" ); document.write( "Rate = x mph ; time = 6 hrs. ; distance = 6x miles
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\n" ); document.write( "EQUATION:
\n" ); document.write( "distance + distance = 246 miles
\n" ); document.write( "6x+30 + 6x = 246
\n" ); document.write( "12x = 216
\n" ); document.write( "x = 18 mph (rate of East-bound cyclist)
\n" ); document.write( "x+5 = 23 mph (rate of West-bound cyclist)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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