document.write( "Question 362893: mary works due north from home.her husband ben works due east.they leave from work at the same time. by the time mary is 5 miles from home the distance between them is one mile more than ben distance from home. how far is ben? __ miles ?? \n" ); document.write( "
Algebra.Com's Answer #258758 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let Ben be x miles from home \n" ); document.write( "then they will be x+1 miles away when Mary is 5 miles from home. \n" ); document.write( "Since they are travelling east and north they form right triangle \n" ); document.write( "Pythagoras theorem \n" ); document.write( ".. \n" ); document.write( "(x+1)^2=x^2+5^2 \n" ); document.write( "x^2+2x+1=x^2+25 \n" ); document.write( "2x=24 \n" ); document.write( "x= 12 miles \n" ); document.write( "ben is 12 miles from home \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |