document.write( "Question 173044: Please help me solve this equation:\r
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document.write( "You commute 56 miles one way to work. The trip to work takes 10 minutes longer than the trip to home. Your average speed on the trip home is 8 miles per hour faster. What is your average speed on the trip home?\r
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document.write( "thank you!!! \n" );
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Algebra.Com's Answer #127895 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Note: 10 minutes = 1/6 of an hour\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since the distance of the commute is 56 miles, this means that \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Going to Work:\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since \"The trip to work takes 10 minutes longer than the trip to home\", this means that the time is \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We'll use the expression \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So after isolating \"r\", we get \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Coming Home:\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now because the \"average speed on the trip home is 8 miles per hour faster\", this means that the new rate is \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Notice we have a quadratic equation in the form of \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's use the quadratic formula to solve for t\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the possible time values (coming home) are \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "However a negative time does NOT make sense. So the only answer is \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the time to commute home is 1 hour. \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Note: This means that the time to get to work is 1 hour and 10 minutes (or 70 minutes)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "=====================================================\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer:\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the solution is \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This means that the average speed coming home is 56 miles per hour. \n" ); document.write( " \n" ); document.write( " |