document.write( "Question 37114: Solve and show all work please.\r
\n" ); document.write( "\n" ); document.write( "Jane can mow the lawn in 3 hours, and Lester can mow it in 4 hours. If they work together, how long will it take them to mow the lawn?
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Algebra.Com's Answer #22800 by longjonsilver(2297)\"\" \"About 
You can put this solution on YOUR website!
if you think about things like this as speed = quantity/time: here the quantity is the lawn area mowed. Lets call this A for area.\r
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\n" ); document.write( "\n" ); document.write( "So, Jane: Jane's speed = A/3
\n" ); document.write( "and Lester: Lester's speed = A/4\r
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\n" ); document.write( "\n" ); document.write( "together we have still the same Area of lawn in some time, t:
\n" ); document.write( "Jane + Lester speed = A/t
\n" ); document.write( "\"+A%2F3+%2B+A%2F4+=+A%2Ft+\"\r
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\n" ); document.write( "\n" ); document.write( "all terms have an A, co we can cancel:
\n" ); document.write( "\"+1%2F3+%2B+1%2F4+=+1%2Ft+\"
\n" ); document.write( "\"+1%2Ft+=+4%2F12+%2B+3%2F12+\"
\n" ); document.write( "\"+1%2Ft+=+7%2F12+\"
\n" ); document.write( "\"+t+=+12%2F7+\" hours\r
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\n" ); document.write( "\n" ); document.write( "which is nearly 2 hours. This makes sense --> together it would take an even quicker time.\r
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\n" ); document.write( "\n" ); document.write( "jon.
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