document.write( "Question 887569: Heather drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 9 hours. When Heather drove home, there was no traffic and the trip only took 4 hours. If her average rate was 40 miles per hour faster on the trip home, how far away does Heather live from the mountains? \n" ); document.write( "

Algebra.Com's Answer #536726 by stanbon(75887) $\"\"$ $\"About$

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Heather drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 9 hours. When Heather drove home, there was no traffic and the trip only took 4 hours. If her average rate was 40 miles per hour faster on the trip home, how far away does Heather live from the mountains?
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\n" ); document.write( "To the mts DATA:
\n" ); document.write( "time = 9 hrs ; rate = r mph ; distance = 9r miles
\n" ); document.write( "------
\n" ); document.write( "From the mts DATA:
\n" ); document.write( "time = 4 hrs ; rate = r+40 mph ; distance = 4(r+40) miles
\n" ); document.write( "--------
\n" ); document.write( "Equation:
\n" ); document.write( "distance to = distance from
\n" ); document.write( "9r = 4r + 160
\n" ); document.write( "5r = 160
\n" ); document.write( "r = 32 mph
\n" ); document.write( "----
\n" ); document.write( "Ans: distance = 9r = 9*32 = 288 miles
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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