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)\"\" \"About 
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_________speed__________________time_________________distance
\n" ); document.write( "_________65_____________________x____________________65x
\n" ); document.write( "_________70_____________________y____________________70y
\n" ); document.write( "Total___________________________27___________________65x+70y\r
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\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
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\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
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\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
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\n" ); document.write( "\n" ); document.write( "Let this distance be d.
\n" ); document.write( "\"highlight%2865x=70%2827-x%29%29\"
\n" ); document.write( "Solve for x and you can compute distance for either direction.\r
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\n" ); document.write( "\n" ); document.write( "\"65x=70%2A27-70x\"
\n" ); document.write( "\"65x%2B70x=70%2A27\"
\n" ); document.write( "Divide b.s. by 5,
\n" ); document.write( "\"13x%2B14x=14%2A27\"
\n" ); document.write( "\"27x=14%2A27\"
\n" ); document.write( "\"highlight%28x=14%29\"\r
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\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
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\n" ); document.write( "\n" ); document.write( "Use either distance expression with x=14 and find the distance:
\n" ); document.write( "\"65%2Ax=65%2A14=highlight%28910%29\" miles
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