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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document.write( "please help me solve please..... i really don't know how to solve please its urgent!!!!! \n" );
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Algebra.Com's Answer #145954 by stanbon(75887)![]() ![]() ![]() 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? \n" ); document.write( "------------ \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 \n" ); document.write( "-------------- \n" ); document.write( "East DATA: \n" ); document.write( "distance = E miles ; rate = 4 mph ; time = E/4 hrs \n" ); document.write( "--------------------- \n" ); document.write( "N^2 = E^2 + 30^2 \n" ); document.write( "N/4 + E/4 = 9 \n" ); document.write( "--------------------- \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: \n" ); document.write( "--- \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) \n" ); document.write( "------------------------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |