document.write( "Question 991470: laurie left home and ran to the lake at 10 mi/h. She ran back home at 8 mi/h. if the entire trip took 27 min, how far did she run in all \n" ); document.write( "

Algebra.Com's Answer #611326 by stanbon(75887) $\"\"$ $\"About$

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laurie left home and ran to the lake at 10 mi/h. She ran back home at 8 mi/h. if the entire trip took 27 min, how far did she run in all
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\n" ); document.write( "To the Lake DATA:
\n" ); document.write( "rate = 10 mph ; distance = x miles ; time = x/10 hrs
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\n" ); document.write( "Back to home DATA:
\n" ); document.write( "rate = 8 mph ; distance = x miles; time = x/8 hrs
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\n" ); document.write( "Equation:
\n" ); document.write( "time + time = (28/60) hrs
\n" ); document.write( "----
\n" ); document.write( "x/10 + x/8 = 7/15
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\n" ); document.write( "15*8x + 15*10x = 7*8*10
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\n" ); document.write( "120x + 150x = 560
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\n" ); document.write( "270x = 560
\n" ); document.write( "------
\n" ); document.write( "x = 2.07 miles
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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