document.write( "Question 272177: A woman hikes to the bottom of the Grand Canyon at a rate of 4.5 mph and returns to the top by mule at a rate of 2.5 mph. If the total time of the trip is 7 hours, how lond did she walk and what was the total length of her trip?
\n" ); document.write( "Let= statement and formula please. Thank You. \n" ); document.write( "
Algebra.Com's Answer #199167 by stanbon(75887)\"\" \"About 
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A woman hikes to the bottom of the Grand Canyon at a rate of 4.5 mph and returns to the top by mule at a rate of 2.5 mph. If the total time of the trip is 7 hours, how long did she walk and what was the total length of her trip?
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\n" ); document.write( "Down DATA:
\n" ); document.write( "rate = 4.5 mph ; distance = x miles ; time = x/4.5 hrs
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\n" ); document.write( "Up DATA:
\n" ); document.write( "rate = 2.5 mph ; distance = x miles ; time = x/2.5 hrs
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\n" ); document.write( "Equation:
\n" ); document.write( "time + time = 7 hrs
\n" ); document.write( "x/(9/2) + x/(5/2) = 7
\n" ); document.write( "Multiply thru by 45 to get:
\n" ); document.write( "10x + 18x = 45*7
\n" ); document.write( "28x = 45*7
\n" ); document.write( "4x = 45
\n" ); document.write( "x = 45/4 miles = 11 1/4 miles (length of her trip)
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\n" ); document.write( "Walking time = (45/4)/(9/2) = (45/4)(2/9) = 5/2 = 2.5 hrs
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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