document.write( "Question 1017401:
\n" ); document.write( "Suppose that a cyclist began a 308 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 5.5 hr and the car traveled 36.8 mph faster than the​ bicycle, find the average rate of each.\r
\n" ); document.write( "\n" ); document.write( "The car average rate is ___ mph?
\n" ); document.write( "The bicycle's rate is ____ mph?
\n" ); document.write( "

Algebra.Com's Answer #633728 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+s+\" = the speed of the bicycle in mi/hr
\n" ); document.write( "\"+s+%2B+36.8+\" = the speed of the car in mi/hr
\n" ); document.write( "---------------------------------------
\n" ); document.write( "You can think of one of them moving at the sum
\n" ); document.write( "of their speeds and the other one standing still,
\n" ); document.write( "because they are moving towards eachother.
\n" ); document.write( "---------------------------------------
\n" ); document.write( "The distance traveled will be the sum of the
\n" ); document.write( "distances each would have traveled
\n" ); document.write( "in \"+5.5+\" hrs
\n" ); document.write( "----------------
\n" ); document.write( "\"+308+=+%28+s+%2B+s+%2B+36.8+%29%2A5.5+\"
\n" ); document.write( "\"+308+=+2s%2A5.5+%2B+36.8%2A5.5+\"
\n" ); document.write( "\"+308+=+11s+%2B+202.4+\"
\n" ); document.write( "\"+11s+=+105.6+\"
\n" ); document.write( "\"+s+=+9.6+\"
\n" ); document.write( "and
\n" ); document.write( "\"+s+%2B+36.8+=+9.6+%2B+36.8+\"
\n" ); document.write( "\"+s+%2B+36.8+=+46.4+\"
\n" ); document.write( "------------------------
\n" ); document.write( "The speed of the bicycle is 9.6 mi/hr
\n" ); document.write( "The speed of the car is 46.4 mi/hr
\n" ); document.write( "--------------------------------
\n" ); document.write( "check answers:
\n" ); document.write( "For the bicycle:
\n" ); document.write( "\"+d%5B1%5D+=+9.6%2A5.5+\"
\n" ); document.write( "\"+d%5B1%5D+=+52.8+\"
\n" ); document.write( "For the car:
\n" ); document.write( "\"+d%5B2%5D+=+46.4%2A5.5+\"
\n" ); document.write( "\"+d%5B2%5D+=+255.2+\"
\n" ); document.write( "--------------------
\n" ); document.write( "\"+d+=+d%5B1%5D+%2B+d%5B2%5D+\"
\n" ); document.write( "\"+d+=+52.8+%2B+255.2+\"
\n" ); document.write( "\"+d+=+308+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );