document.write( "Question 334331: John drove to a distant city in 5 hours. When he returned, there was less traffic and the trip took only 3 hours. If John averaged 26 mph faster on the return trip, how fast did he drive each way?\r
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document.write( "It seems that something is missing from the problem. Help please. \n" );
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Algebra.Com's Answer #239750 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! John drove to a distant city in 5 hours. \n" ); document.write( " When he returned, there was less traffic and the trip took only 3 hours. \n" ); document.write( " If John averaged 26 mph faster on the return trip, how fast did he drive each way? \n" ); document.write( ": \n" ); document.write( "We don't know the distance of the trips, but we know they are equal. \n" ); document.write( ": \n" ); document.write( "Let s = speed to the city \n" ); document.write( "then \n" ); document.write( "(s+26 = return speed \n" ); document.write( ": \n" ); document.write( "Write a distance equation: dist = time * speed \n" ); document.write( ": \n" ); document.write( "To dist = return dist \n" ); document.write( "5s = 3(s+26) \n" ); document.write( "5s = 3s + 78 \n" ); document.write( "5s - 3s = 78 \n" ); document.write( "2s = 78 \n" ); document.write( "s = \n" ); document.write( "s = 39 mph to the city \n" ); document.write( "and \n" ); document.write( "39 + 26 = 65 mph back \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "We can confirm our solution by finding the distances now \n" ); document.write( "5*39 = 195 mi \n" ); document.write( "3*65 = 195 mi also \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Pretty simple, right?\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |