document.write( "Question 227576: I have another question - Bert and Ernie working together can rake a lawn in 3 hours. Bert can do the job alone in 5 hours. How long would it take Ernie to rake the lawn alone? \n" ); document.write( "

Algebra.Com's Answer #169079 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
In words:
\n" ); document.write( "(Bert's rate of working) + (Ernie's rate of working) = (rate working together)
\n" ); document.write( "(1 lawn/5 hours) + (1 lawn/x hours) = 1 lawn/3 hours)
\n" ); document.write( " $\"1%2F5+%2B+1%2Fx+=+1%2F3\"$
\n" ); document.write( "Multiply both sides by $\"15x\"$
\n" ); document.write( " $\"3x+%2B+15+=+5x\"$
\n" ); document.write( " $\"2x+=+15\"$
\n" ); document.write( " $\"x+=+7.5\"$
\n" ); document.write( "Ernie can rake the lawn alone in 7.5 hours
\n" ); document.write( "check:
\n" ); document.write( " $\"1%2F5+%2B+1%2F7.5+=+1%2F3\"$
\n" ); document.write( " $\"3%2F15+%2B+2%2F15+=+5%2F15\"$
\n" ); document.write( " $\"3+%2B+2+=+5\"$
\n" ); document.write( " $\"5+=+5\"$
\n" ); document.write( "OK \n" ); document.write( "

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