document.write( "Question 140229: James can hike three miles per hours faster on level ground than he can on uphill terrain. Yesterday, he hiked a total distance of 32 miles and spent 2 hours on level ground and 5 hours on uphill terrain. What is the rate of his speed on level ground?\r
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Algebra.Com's Answer #102141 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! James can hike three miles per hours faster on level ground than he can on uphill terrain. Yesterday, he hiked a total distance of 32 miles and spent 2 hours on level ground and 5 hours on uphill terrain. What is the rate of his speed on level ground? \n" ); document.write( ": \n" ); document.write( "Let s = walking speed on level ground \n" ); document.write( "then \n" ); document.write( "(s-3) = speed uphill \n" ); document.write( ": \n" ); document.write( "Write a distance equation Dist = time * speed \n" ); document.write( "2s + 5(s-3) = 32 \n" ); document.write( ": \n" ); document.write( "2s + 5s - 15 = 32 \n" ); document.write( ": \n" ); document.write( "7s = 32 + 15 \n" ); document.write( ": \n" ); document.write( "7s = 47 \n" ); document.write( "s = \n" ); document.write( "s = 6.714 mph on level ground \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution: speed uphill = 3.714: \n" ); document.write( "2(6.714) + 5(3.714) = \n" ); document.write( "13.43 + 18.57 = 32 mi \n" ); document.write( " |