document.write( "Question 1018405: One competitor in a 100 mile bicycle race took a total of 5 hours to complete the course. His average speed in the mnorning was 23 miles per hour. His average speed in the afternoon was 13 miles per hour. How many hours did he ride in the morning, and how many hours he ride in the afternoon?
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Algebra.Com's Answer #634525 by ankor@dixie-net.com(22740)\"\" \"About 
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One competitor in a 100 mile bicycle race took a total of 5 hours to complete the course.
\n" ); document.write( " His average speed in the morning was 23 miles per hour.
\n" ); document.write( " His average speed in the afternoon was 13 miles per hour.
\n" ); document.write( " How many hours did he ride in the morning, and how many hours he ride in the afternoon?
\n" ); document.write( ":
\n" ); document.write( "let t = time riding at 23 mph in the morning
\n" ); document.write( "total time given as 5 hrs, therefore
\n" ); document.write( "(5-t) = time riding at 13 mph in the afternoon
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation, dist = speed * time
\n" ); document.write( "morning dist + afternoon dist = 100 mi
\n" ); document.write( " 23t + 13(5-t) = 100
\n" ); document.write( " 23t + 65 - 13t = 100
\n" ); document.write( "23t - 13t = 100 - 65
\n" ); document.write( "10t = 35
\n" ); document.write( "t = 35/10
\n" ); document.write( "t = 3.5 hrs at 23 mph in the morning
\n" ); document.write( "then
\n" ); document.write( "5 - 3.5 = 1.5 hrs at 13 mph in the afternoon
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\n" ); document.write( "Check this, find the actual dist at each speed
\n" ); document.write( "3.5(23) = 80.5 mi
\n" ); document.write( "1.5(13) = 19.5 mi
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\n" ); document.write( "total dist: 100 mi \n" ); document.write( "
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