document.write( "Question 368453: A father and son are digging a garden that is 7 feet long and 5 feet wide. The father, working alone, can dig the garden in 3 hours. The son can do the job in 4 hours. If they both work together, how long would the two need to complete the task? \n" ); document.write( "

Algebra.Com's Answer #262608 by Fombitz(32388) $\"\"$ $\"About$

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Rate*Time=Output
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\n" ); document.write( "Let the output required to dig the garden equal Z.
\n" ); document.write( " $\"R%2At=Z\"$
\n" ); document.write( "Calculate the father's rate,
\n" ); document.write( " $\"R%5Bf%5D%2A3=Z\"$
\n" ); document.write( " $\"R%5Bf%5D=Z%2F3\"$
\n" ); document.write( "Calculate the son's rate,
\n" ); document.write( " $\"R%5Bs%5D%2A4=Z\"$
\n" ); document.write( " $\"R%5Bs%5D=Z%2F4\"$
\n" ); document.write( "Putting their rates together, calculate the time,
\n" ); document.write( " $\"%28R%5Bf%5D%2BR%5Bs%5D%29%2At=Z\"$
\n" ); document.write( " $\"%28Z%2F3%2BZ%2F4%29%2At=Z\"$
\n" ); document.write( " $\"%284%2F12%2B3%2F12%29%2At=1\"$
\n" ); document.write( " $\"highlight%28t=12%2F7%29\"$ hours
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