document.write( "Question 200937: Jaclyn can complete a job in 5.5 hours. Her brother Terry can complete the job in 4.5 hours. How long will it take them working together to complete the job? \n" ); document.write( "

Algebra.Com's Answer #151159 by ptaylor(2198) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let x=amount of time it takes both working together to complete the job
\n" ); document.write( "Then together they work at the rate of 1/x of the job per hour\r
\n" ); document.write( "\n" ); document.write( "Jaclyn works at the rate of 1/(5.5) of the job per hour
\n" ); document.write( "Terry works at the rate of 1/(4.5) of the job per hour
\n" ); document.write( "So:
\n" ); document.write( "1/(5.5) + 1/(4.5)=1/x Multiply each term by (4.5)(5.5)(x)
\n" ); document.write( "4.5x+ 5.5x=24.75
\n" ); document.write( "10x=24.75
\n" ); document.write( "x=2.475 hours---amount of time it takes both working together to complete the job\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "In 2.475 hours Jaclyn completes 2.475/5.5 of the job
\n" ); document.write( "In 2.475 hours Terry completes 2.475/4.5 of the job\r
\n" ); document.write( "\n" ); document.write( "2.475/5.5 + 2.475/4.5 should equal 1 (1 job that is)\r
\n" ); document.write( "\n" ); document.write( "0.45 + 0.55=1
\n" ); document.write( "1=1\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( "

\n" );