document.write( "Question 761779: A bicylist riding against the wind averages 10 miles per hour in traveling from A to B. When the wind averages 15 miles per hour in returning from A to B, how many miles per hour is his average speed for the round trip? \n" ); document.write( "
Algebra.Com's Answer #463505 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! A bicyclist riding against the wind averages 10 miles per hour in \n" ); document.write( " traveling from A to B. \n" ); document.write( "With the wind, averages 15 miles per hour in returning from B to A, \n" ); document.write( " how many miles per hour is his average speed for the round trip? \n" ); document.write( ": \n" ); document.write( "Let a = average speed for the trip \n" ); document.write( "Let d = the one-way distance \n" ); document.write( ": \n" ); document.write( "Write a time equation: time = dist/speed \n" ); document.write( ": \n" ); document.write( "against time + with time = total time \n" ); document.write( " \n" ); document.write( "multiply by 30a to clear the denominators, results \n" ); document.write( "2a(d) + 3a(d) = 30(2d) \n" ); document.write( "2ad + 3ad = 60d \n" ); document.write( "5ad = 60d \n" ); document.write( "divide both sides by d \n" ); document.write( "5a = 60 \n" ); document.write( "a = 60/5 \n" ); document.write( "a = 12 mph is the average speed for the trip \n" ); document.write( " \n" ); document.write( " |