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)\"\" \"About 
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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?
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\n" ); document.write( "Let a = average speed for the trip
\n" ); document.write( "Let d = the one-way distance
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\n" ); document.write( "Write a time equation: time = dist/speed
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\n" ); document.write( "against time + with time = total time
\n" ); document.write( "\"d%2F15\" + \"d%2F10\" = \"%282d%29%2Fa\"
\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
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