document.write( "Question 898520: Please help me solve this problem: Two hikers start from the same point and hike in opposite directions around a lake whose shoreline is 11 mi long. One hiker walks 0.5 mph faster than the other hiker. How fast did each hiker walk if they meet in 2 h? \n" ); document.write( "

Algebra.Com's Answer #544893 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Please help me solve this problem: Two hikers start from the same point and hike in opposite directions around a lake whose shoreline is 11 mi long. One hiker walks 0.5 mph faster than the other hiker. How fast did each hiker walk if they meet in 2 h?
\n" ); document.write( "


\n" );
document.write( "Let speed of slower hiker be S
\n" );
document.write( "Then speed of faster hiker is: S + .5
\n" );
document.write( "Since their respective distances sum to 11 miles, and they met in 2 hours, then we get: 
\n" );
document.write( "2S + 2(S + .5) = 11
\n" );
document.write( "2S + 2S + 1 = 11
\n" );
document.write( "4S = 11 – 1
\n" );
document.write( "4S = 10
\n" );
document.write( "S, or speed of slower hiker = , or  mph
\n" );
document.write( "Faster hiker’s speed: 2.5 + .5, or  mph
\n" );
document.write( "You can do the check!! \r
\n" );
document.write( "\n" );
document.write( "Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.
\n" );
document.write( "Further help is available, online or in-person, for a fee, obviously. \r
\n" );
document.write( "\n" );
document.write( "For FREE info and answers to questions about the ASVAB exam, the NYS 3 – 8 city/state wide exams,GENERAL
\n" );
document.write( "MATH and HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra, 
\n" );
document.write( "Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE,
\n" );
document.write( "GRE, CLEP, and the TASC/GED, you can visit: http://asvabstudyzone.freeforums.net/. \n" );
document.write( "

\n" );