document.write( "Question 461983: A consultant traveled in a car for 3 hours to attend a meeting. The return trip took only 2 hours (different route) because his speed was 8 miles per hour faster. The total trip was 291 miles. What was the consultant's speed each way? \n" ); document.write( "
Algebra.Com's Answer #316873 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! consultant traveled in a car for 3 hours to attend a meeting. \n" ); document.write( " The return trip took only 2 hours (different route) because his speed was 8 miles per hour faster. \n" ); document.write( " The total trip was 291 miles. What was the consultant's speed each way? \n" ); document.write( ": \n" ); document.write( "Let s = speed to the meeting \n" ); document.write( "then \n" ); document.write( "(s+8) = return speed \n" ); document.write( ": \n" ); document.write( "Write a distance equation, dist = time * speed \n" ); document.write( ": \n" ); document.write( "3s + 2(s+8) = 291 \n" ); document.write( "3s + 2s + 16 = 291 \n" ); document.write( "5s = 291 - 16 \n" ); document.write( "5s = 275 \n" ); document.write( "s = \n" ); document.write( "s = 55 mph to the meeting \n" ); document.write( "and \n" ); document.write( "55 + 8 = 63 mph from the meeting \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solutions by finding the actual dist of each trip \n" ); document.write( "3(55) + 2(63) = \n" ); document.write( "165 + 126 = 291, confirms our solutions \n" ); document.write( " |