document.write( "Question 732453: After a snowstorm ken and beteena clear their drive way. ken can clear the snow by himself in four hours beteena can clear the snow in five.after beteena has been working for two hours ken is able to join her. how much longer will it take them working together to remove the rest of the snow? \n" ); document.write( "

Algebra.Com's Answer #447854 by josmiceli(19441) $\"\"$ $\"About$

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Beteena can clear the snow in five hrs.
\n" ); document.write( "In 2 hrs, working alone, she can clear
\n" ); document.write( " $\"+2%2F5+\"$ of the driveway.
\n" ); document.write( "That means $\"+3%2F5+\"$ is left to clear.
\n" ); document.write( "---------------------
\n" ); document.write( "Add their rates of working to get rate
\n" ); document.write( "working together.
\n" ); document.write( "( 1 driveway / 4 hrs ) + ( 1 driveway / 5 hrs ) = ( 3/5 d.w. / t hrs )
\n" ); document.write( " $\"+1%2F4+%2B+1%2F5+=+%283%2F5%29+%2F+t+\"$
\n" ); document.write( " $\"+1%2F4+%2B+1%2F5+=+3+%2F+%285t%29+\"$
\n" ); document.write( "Multiply both sides by $\"+20t+\"$
\n" ); document.write( " $\"+5t+%2B+4t+=+12+\"$
\n" ); document.write( " $\"+9t+=+12+\"$
\n" ); document.write( " $\"+t+=+4%2F3+\"$
\n" ); document.write( "1 hr plus 1/3 of an hr is
\n" ); document.write( "1 hr and 20 min
\n" ); document.write( "---------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+1%2F4+%2B+1%2F5+=+%283%2F5%29+%2F+t+\"$
\n" ); document.write( " $\"+1%2F4+%2B+1%2F5+=+%283%2F5%29+%2F+%284%2F3%29+\"$
\n" ); document.write( " $\"+5%2F20+%2B+4%2F20+=+%283%2F5%29%2A%283%2F4%29+\"$
\n" ); document.write( " $\"+9%2F20+=+9%2F20+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );