document.write( "Question 973798: 2 people are 2.2 miles apart . they leave same time and walk same direction . person A overtakes person B in 11 hours. if they walk towards each other , they meet in 1 hour . find their speed
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Algebra.Com's Answer #595944 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 2 people are 2.2 miles apart. they leave same time and walk same direction . \n" ); document.write( " person A overtakes person B in 11 hours. \n" ); document.write( " if they walk towards each other , they meet in 1 hour . \n" ); document.write( " find their speed: \n" ); document.write( "let a = speed of A \n" ); document.write( "let b = speed of B \n" ); document.write( ": \n" ); document.write( "Relative speed walking toward each other is additive \n" ); document.write( "Relative speed walking the same direction is subtractive \n" ); document.write( ": \n" ); document.write( "Write distance equation for each way. Dist = time * speed \n" ); document.write( "11(a - b) = 2.2 \n" ); document.write( "1(a + b) = 2.2 \n" ); document.write( "divide the first equation by 11 \n" ); document.write( "a - b = .2 \n" ); document.write( "a + b = 2.2 \n" ); document.write( "---------------Adding eliminates b, find a \n" ); document.write( "2a = 2.4 \n" ); document.write( "a = 2.4/2 \n" ); document.write( "a = 1.2 mph is A's speed \n" ); document.write( "use the 2nd equation to find b, replace a with 1.2 \n" ); document.write( "1.2 + b = 2.2 \n" ); document.write( "b = 2.2 - 1.2 \n" ); document.write( "b = 1.0 mph is B's speed \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this in the 1st original equation \n" ); document.write( "11(1.2 - 1.) = 2.2 \n" ); document.write( "11(.2) = 2.2 \n" ); document.write( " \n" ); document.write( " |