document.write( "Question 5390: A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist’s average rate for the round trip in miles per hour?
\n" ); document.write( " I got 9.0 but the answer is 8.9
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #2753 by jainenderkapoor(61)\"\" \"About 
You can put this solution on YOUR website!
It is a question of average Speed. It has to be solved in three parts.\r
\n" ); document.write( "\n" ); document.write( "1. Going from A to B --- 2. Going from B to A --- 3. Average Speed\r
\n" ); document.write( "\n" ); document.write( "1. Going from A to B\r
\n" ); document.write( "\n" ); document.write( "Distance = d1 = x miles
\n" ); document.write( "Speed = s1 = 10 miles per hour
\n" ); document.write( "Time = t1 = Distance/ Speed = x/10\r
\n" ); document.write( "\n" ); document.write( "2. Going from B to A\r
\n" ); document.write( "\n" ); document.write( "Distance = d2 = x miles
\n" ); document.write( "Speed = s2 = 8 miles per hour
\n" ); document.write( "Time = t2 = Distance/ Speed = x/8\r
\n" ); document.write( "\n" ); document.write( "3. Average Speed = Total Distance/Total Time\r
\n" ); document.write( "\n" ); document.write( "Total Distance = x + x = 2x
\n" ); document.write( "Total Time = x/10 + x/8 = x (1/10 + 1/8) = x ( 4 + 5)/40 = 9x/40\r
\n" ); document.write( "\n" ); document.write( "Speed = 2x/(9x/40) = (2x * 40)/9x = 80x/9x = 80/9 = 8.9 \r
\n" ); document.write( "\n" ); document.write( "HOPE THIS IS CLEAR TO YOU.
\n" ); document.write( "IN CASE YOU NEED ANY HELP, I AM AVAILABLE FOR ONLINE TUTORING. YOU CAN CONTACT ME AT kapoorjai1@rediffmail.com\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );