document.write( "Question 808700: A family drove to Las Vegas at an average speed of 65mph and returned via the same route at a speed of 70mph. Find the time it took to drive to Las Vegas if the total time was 27 hours. \n" ); document.write( "
Algebra.Com's Answer #487149 by josgarithmetic(39617)![]() ![]() ![]() You can put this solution on YOUR website! _________speed__________________time_________________distance \n" ); document.write( "_________65_____________________x____________________65x \n" ); document.write( "_________70_____________________y____________________70y \n" ); document.write( "Total___________________________27___________________65x+70y\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You want one variable, not two. \n" ); document.write( "x+y=27 so maybe, y=27-x. Try this instead of \"y\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "_________speed__________________time____________________distance \n" ); document.write( "_________65_____________________x_______________________65x \n" ); document.write( "_________70_____________________27-x____________________70(27-x) \n" ); document.write( "Total___________________________27______________________65x+70(27-x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The given information still does not seem enough. \n" ); document.write( "Note, the distance both ways is the same, as described.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let this distance be d. \n" ); document.write( " \n" ); document.write( "Solve for x and you can compute distance for either direction.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Divide b.s. by 5, \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That much could well have been done using two variables, x and y and we would have had a system of two equations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use either distance expression with x=14 and find the distance: \n" ); document.write( " |