document.write( "Question 1090419: A woman can hike 1 mph faster down a trail to Fire Lake than she can on the return trip uphill. It takes her 3 hours to get to the lake and 6 hours to return. What is her speed hiking down to the lake? \n" ); document.write( "
Algebra.Com's Answer #704860 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! speed of hiking on flat ground is x \n" ); document.write( "(x+1)* time=(x+1)*3=3(x+1)=3x+3 mi distance to lake \n" ); document.write( "return (x-1)*6=6x-6 mi \n" ); document.write( "but these distances are equal \n" ); document.write( "6x-6=3x+3 \n" ); document.write( "3x=9 \n" ); document.write( "x=3 mph speed \n" ); document.write( "4 mph to lake downhill*3 hours is 12 miles \n" ); document.write( "2 mph back from lake uphill*6 hours is 12 miles \n" ); document.write( "4 mph is the answer. \n" ); document.write( " |