document.write( "Question 103361: A bicyclist rode into the country for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4 h. What was her speed eacy way? \n" ); document.write( "
Algebra.Com's Answer #75284 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A bicyclist rode into the country for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4 h. What was her speed each way? \n" ); document.write( ": \n" ); document.write( "Let s = speed into the country \n" ); document.write( "then \n" ); document.write( "(s+5) = speed returning \n" ); document.write( ": \n" ); document.write( "The distance for both trips is the same. Write a distance equation \n" ); document.write( "Dist = time * speed \n" ); document.write( ": \n" ); document.write( "Dist into the country = Dist back from the country \n" ); document.write( "5s = 4(s+5) \n" ); document.write( ": \n" ); document.write( "5s = 4s + 20 \n" ); document.write( ": \n" ); document.write( "5s - 4s = 20 \n" ); document.write( ": \n" ); document.write( "s = 20 mph is into the country \n" ); document.write( ": \n" ); document.write( "20 + 5 = 25 mph back. \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by finding if both trips are equal: \n" ); document.write( "5*20 = 100 \n" ); document.write( "4*25 = 100 \n" ); document.write( ": \n" ); document.write( "Make sense to you now? \n" ); document.write( " \n" ); document.write( " |