document.write( "Question 1027739: Suppose that a cyclist began a 513 mi ride across a state at the western edge of the state, at the same time that a car traveling toward it leaves the eastern end of the state. If the bicycle and car met after 9.5 hours and the car traveled 38.2 mph faster than the bicycle, find the average rate of each \n" ); document.write( "
Algebra.Com's Answer #642973 by mananth(16946)\"\" \"About 
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cyclist x mph
\n" ); document.write( "car x+ 38.2 mph
\n" ); document.write( "..
\n" ); document.write( "They are moving towards each other
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\n" ); document.write( "So add up their speed.
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\n" ); document.write( "combined speed = x+ 1 x 38.2
\n" ); document.write( "( 2 x + 38.2 )
\n" ); document.write( "Time = 9.5 hours
\n" ); document.write( "Distance = 513 miles
\n" ); document.write( "Distance = speed * time
\n" ); document.write( "( 2 x 38.2 )* 9.5 = 513
\n" ); document.write( "19.00 x + 362.9 = 513
\n" ); document.write( "19 x = 513 + -362.9
\n" ); document.write( "19 x = 150.1
\n" ); document.write( "/ 19
\n" ); document.write( "x= 7.9 mph
\n" ); document.write( "cyclist = 7.9 mph
\n" ); document.write( "car 7.9 + 38.2 = 46.1 mph
\n" ); document.write( "m.ananth@hotmail.ca
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