document.write( "Question 631601: Mary works due north of home. Her Husband Juan works due east. They leave for work at the same time. By the time Mary is 5 miles from home, the distance between them is one mile more than Juan's distance from home. How far from home is Juan? \n" ); document.write( "

Algebra.Com's Answer #397704 by mananth(16946) $\"\"$ $\"About$

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Since Mary and her husband have to go at right angles to each other to their work place, at any given position,\r
\n" ); document.write( "\n" ); document.write( "Mary, husband and home form a right triangle.\r
\n" ); document.write( "\n" ); document.write( "So we can use Pythagoras theorem
\n" ); document.write( "Juan's distance from home be x
\n" ); document.write( "Mary 5 miles from home
\n" ); document.write( "the distance betwen them = (x+1) \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2B5%5E2=+%28x%2B1%29%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2B25+=+x%5E2%2B2x%2B1\"$ \r
\n" ); document.write( "\n" ); document.write( "2x+1=25
\n" ); document.write( "2x=24
\n" ); document.write( "/2
\n" ); document.write( "x=12 miles\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Juan is 12 miles from home\r
\n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( "

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