document.write( "Question 1104894: Seymour Blossoms and Pete Moss plant flowers in a botanical garden. Working by himself it takes Seymour 7 hours to plant the flowers and it takes Pete 3 hours to plant the flowers when he works by himself. How long does it take them to plant the flowers if they work together? \n" ); document.write( "
Algebra.Com's Answer #719624 by josmiceli(19441)\"\" \"About 
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Add their rates of planting to get their
\n" ); document.write( "rate planting together
\n" ); document.write( "SB's rate is [ 1 job ] / [ 7 hrs ]
\n" ); document.write( "PM's rate is [ 1 job ] / [ 3 hrs ]
\n" ); document.write( "Let their rate working together =
\n" ); document.write( "\"+1%2Ft+\" where \"t\" = time in hrs
\n" ); document.write( "---------------------------------
\n" ); document.write( "\"+1%2F7+%2B+1%2F3+=+1%2Ft+\"
\n" ); document.write( "Multiply both sides by \"+3%2A7t+\"
\n" ); document.write( "\"+3t+%2B+7t+=+3%2A7+\"
\n" ); document.write( "\"+10t+=+21+\"
\n" ); document.write( "\"+t+=+2.1+\" hrs
\n" ); document.write( "\"+.1%2A60+=+6+\" min
\n" ); document.write( "----------------------
\n" ); document.write( "working together, it will take them 2 hrs and 6 mins
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+1%2F70+%2B+1%2F30+=+1%2F21+\"
\n" ); document.write( "\"+.014286+%2B+.033333+=+.047619+\"
\n" ); document.write( "\"+.047619+=+.047619+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );