document.write( "Question 720385: heather can rake all the leaves in the yard in 4 hours, Beth can do it in 6. How long would it take them to do the yard together? \n" ); document.write( "

Algebra.Com's Answer #441806 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of raking
\n" ); document.write( "Heather's rate:
\n" ); document.write( "( 1 yard ) / ( 4 hrs )
\n" ); document.write( "Beth's rate
\n" ); document.write( "( 1 yard ) / ( 6 hrs )
\n" ); document.write( "Rate raking together:
\n" ); document.write( "( 1 yard ) / ( t hrs )
\n" ); document.write( "-----------------
\n" ); document.write( " $\"+1%2F4+%2B+1%2F6+=+1%2Ft+\"$
\n" ); document.write( "Multiply both sides y $\"+12t+\"$
\n" ); document.write( " $\"+3t+%2B+2t+=+12+\"$
\n" ); document.write( " $\"+5t+=+12+\"$
\n" ); document.write( " $\"+t+=+2.4+\"$ hrs
\n" ); document.write( " $\"+.4%2A60+=+24+\"$
\n" ); document.write( "Together, they can rake the yard in 2 hrs 24 min
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+1%2F4+%2B+1%2F6+=+1%2Ft+\"$
\n" ); document.write( " $\"+.25+%2B+.1666+=+1%2F2.4+\"$
\n" ); document.write( " $\"+.25+%2B+.16666+=+.41666+\"$
\n" ); document.write( " $\"+.41666+=+.41666+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );