document.write( "Question 202746: Becky traveled an average of 60 mph on a trip to St. Louis. On her return trip, she took a more scenic route that was 2 hours longer and 30 miles farther and averaged 50 mph on the way back. How long did it take to Becky to travel to St. Louis? \n" ); document.write( "
Algebra.Com's Answer #152912 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Becky traveled an average of 60 mph on a trip to St. Louis. On her return trip, she took a more scenic route that was 2 hours longer and 30 miles farther and averaged 50 mph on the way back. How long did it take to Becky to travel to St. Louis? \n" ); document.write( "------------------------------ \n" ); document.write( "To St. Louis DATA: \n" ); document.write( "rate = 60 mph ; time = x hrs ; distance = rt = 60x miles \n" ); document.write( "-------------------------------- \n" ); document.write( "From St. Louis DATA: \n" ); document.write( "rate = 50 mph ; time = x + 2 hrs ; distance = rt = 50(x+2) miles \n" ); document.write( "------------------------------ \n" ); document.write( "Equation: \n" ); document.write( "\"from distance\" - \"to distance\" = 30 \n" ); document.write( "50(x+2) - 60x = 30 \n" ); document.write( "50x + 100 - 60x = 30 \n" ); document.write( "-10x = -70 \n" ); document.write( "x = 7 hrs (time it took for her to go to St. Louis) \n" ); document.write( "======================================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |