document.write( "Question 446935: two machines that fill cereal boxes work at the same rate. after they work together for 7 h, one machine breaks down. the second machine requires 14 h more to finish filling the boxes. how long would it have taken one of the machines, working alone, to fill the boxes? \n" ); document.write( "

Algebra.Com's Answer #307765 by nerdybill(7384) $\"\"$ $\"About$

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two machines that fill cereal boxes work at the same rate. after they work together for 7 h, one machine breaks down. the second machine requires 14 h more to finish filling the boxes. how long would it have taken one of the machines, working alone, to fill the boxes?
\n" ); document.write( ".
\n" ); document.write( "Let x = time (hours) it takes for one machine
\n" ); document.write( "then
\n" ); document.write( "7(1/x + 1/x) + 14(1/x) = 1
\n" ); document.write( "7(1 + 1) + 14(1) = x
\n" ); document.write( "7(2) + 14(1) = x
\n" ); document.write( "14 + 14 = x
\n" ); document.write( "28 hours = x
\n" ); document.write( " \n" ); document.write( "

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