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 #199166 by oberobic(2304) $\"\"$ $\"About$

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d=rt, where d=distance, r=rate, and t=time
\n" ); document.write( "t = d/r= 7
\n" ); document.write( "so
\n" ); document.write( "x = time walking down @ 4.5 mph
\n" ); document.write( "7-x = time walking up @ 2.5 mph
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\n" ); document.write( "total time = 7 = time walking down + time walking up
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\n" ); document.write( "4.5(x) = d = distance walking down
\n" ); document.write( "2.5(7-x) = d = distance walking up, which has to equal distance walking down
\n" ); document.write( ".
\n" ); document.write( "4.5x = 2.5(7-x) = 17.5 - 2.5x
\n" ); document.write( "adding 2.5x to both sides
\n" ); document.write( "7x = 17.5
\n" ); document.write( "x = 2.5 hr
\n" ); document.write( "7-x = 7 - 2.5 = 4.5 hr
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\n" ); document.write( "so, she walks down for 2.5 hr at a pace of 4.5 mph = 11.25 miles
\n" ); document.write( "and
\n" ); document.write( "she walks up for 4.5 hr at a pace of 2.5 = 11.25 miles
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\n" ); document.write( "so the total length of the trip was 11.25 + 11.25 = 22.5 miles
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