document.write( "Question 969368: Yoko drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Yoko drove home, there was no traffic and the trip only took 4 hours. If her average rate was 27 miles per hour faster on the trip home, how far away does Yoko live from the mountains? \n" ); document.write( "

Algebra.Com's Answer #592264 by stanbon(75887) $\"\"$ $\"About$

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Yoko drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Yoko drove home, there was no traffic and the trip only took 4 hours. If her average rate was 27 miles per hour faster on the trip home, how far away does Yoko live from the mountains?
\n" ); document.write( "----------------------------
\n" ); document.write( "To mountains DATA:
\n" ); document.write( "time = 7 hrs ; distance = x miles ; rate = d/t = x/7 mph
\n" ); document.write( "----------------
\n" ); document.write( "From mountains DATA:
\n" ); document.write( "time = 4 hrs ; distance = x miles ; rate = d/t = x/4 mph
\n" ); document.write( "------
\n" ); document.write( "Equation:
\n" ); document.write( "rate - rate = 27
\n" ); document.write( "x/4 - x/7 = 27
\n" ); document.write( "7x - 4x = 28*27
\n" ); document.write( "----
\n" ); document.write( "3x = 28*27
\n" ); document.write( "x = 28*9
\n" ); document.write( "----
\n" ); document.write( "Ans:: distance = 252 miles
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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