document.write( "Question 151542: Cara and Jim take eight hours to mow the yard. Jim take 4 times as long as Cara to mow the yard by himself. How long does it take Cara to mow the yard? \n" ); document.write( "

Algebra.Com's Answer #111433 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Cara and Jim take eight hours to mow the yard. Jim take 4 times as long as Cara to mow the yard by himself. How long does it take Cara to mow the yard?
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\n" ); document.write( "Let t = C's time to mow the yard
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\n" ); document.write( "4t = J's time to mow the yard
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\n" ); document.write( "Let the completed job = 1
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\n" ); document.write( " $\"8%2Ft\"$ + $\"8%2F%284t%29\"$ = 1
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\n" ); document.write( "Multiply equation by 4t
\n" ); document.write( "4(8) + 8 = 4t
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\n" ); document.write( "32 + 8 = 4t
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\n" ); document.write( "40 = 4t
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\n" ); document.write( "t = 10 hrs for C to mow by himself
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\n" ); document.write( "Check solution on a calc: 8/10 + 8/40 = 1 \n" ); document.write( "

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