document.write( "Question 194513: the distance between sue and dude ranch was 30 mi.straight across a rattlesnake- infested canyon instead of crossing the canyon, she hiked due north for a long time and then hiked due east for a shorter leg of the journey to the ranch. if she averaged 4 mph and it took her 9 hrs to get the ranch, then how far did she hike in a northerly direction?\r
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Algebra.Com's Answer #145954 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
the distance between sue and dude ranch was 30 mi.straight across a rattlesnake- infested canyon instead of crossing the canyon, she hiked due north for a long time and then hiked due east for a shorter leg of the journey to the ranch. if she averaged 4 mph and it took her 9 hrs to get the ranch, then how far did she hike in a northerly direction?
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\n" ); document.write( "1st: Draw the picture.
\n" ); document.write( "2nd:
\n" ); document.write( "North DATA:
\n" ); document.write( "distance = N miles ; rate = 4 mph ; time = N/4 hrs
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\n" ); document.write( "East DATA:
\n" ); document.write( "distance = E miles ; rate = 4 mph ; time = E/4 hrs
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\n" ); document.write( "N^2 = E^2 + 30^2
\n" ); document.write( "N/4 + E/4 = 9
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\n" ); document.write( "Rearrnge:
\n" ); document.write( "N + E = 36
\n" ); document.write( "So N = 36-E
\n" ); document.write( "Substitute to solve for E:
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\n" ); document.write( "(36-E)^2 = E^2 + 30^2
\n" ); document.write( "36^2 -72E = 900
\n" ); document.write( "72E = 36^2-900
\n" ); document.write( "E = 5.5 miles (distance walked East)
\n" ); document.write( "Since N+E = 36, N = 30.5 miles (distance walked North)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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