document.write( "Question 334470: I have a story problem using d=rt, where is the distance, r is the rate and t is the time.\r
\n" ); document.write( "\n" ); document.write( "Suppose you are traveling at an average of 55 miles per hour to your sisters house, and return at an average of 65 miles per hour. The total driving time is 12 hours. How far, in miles did you travel?\r
\n" ); document.write( "\n" ); document.write( "The only option that even comes close to the answer I get is 660. I can not figure out how. \r
\n" ); document.write( "\n" ); document.write( "Please help!! thanks so much! \n" ); document.write( "
Algebra.Com's Answer #239650 by nerdybill(7384)\"\" \"About 
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Suppose you are traveling at an average of 55 miles per hour to your sisters house, and return at an average of 65 miles per hour. The total driving time is 12 hours. How far, in miles did you travel?
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\n" ); document.write( "Let x = time (hours) it takes to travel to your sister's house
\n" ); document.write( "then
\n" ); document.write( "12-x = time (hours) it takes to return from your sister's house
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\n" ); document.write( "Distance to your sister's house: d = rt
\n" ); document.write( "55x
\n" ); document.write( "Distnace from your sister's house:
\n" ); document.write( "65(12-x)
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\n" ); document.write( "Since the distance is the same whether you're going to or returning from your sister's house, set both expressions (above) equal to each other and solve for x:
\n" ); document.write( "55x = 65(12-x)
\n" ); document.write( "55x = 780-65x
\n" ); document.write( "120x = 780
\n" ); document.write( "x = 6.5 hours (time to travel TO your sister's house)
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\n" ); document.write( "Distance then must be:
\n" ); document.write( "55x = 55(6.5) = 357.5 miles\r
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