document.write( "Question 80898: 8. Alexandra and Frank can assemble a swing set working together in 6 hours. One day, when Frank called in sick, Alexandra was able to assemble a swing set in 10 hours. How long would it take Frank to assemble a swing set if he worked by himself? \n" ); document.write( "

Algebra.Com's Answer #58052 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Alexandra and Frank can assemble a swing set working together in 6 hours. One day, when Frank called in sick, Alexandra was able to assemble a swing set in 10 hours. How long would it take Frank to assemble a swing set if he worked by himself?
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\n" ); document.write( "Let x = time required for F to assemble by himself
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\n" ); document.write( "Let the completed job = 1
\n" ); document.write( ":
\n" ); document.write( " $\"6%2F10\"$ + $\"6%2Fx\"$ = 1
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\n" ); document.write( "Multiply equation by 10x to get rid of the denominator:
\n" ); document.write( "x(6) + 10(6) = 10x
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\n" ); document.write( "6x + 60 = 10x
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\n" ); document.write( "6x - 10x = -60
\n" ); document.write( ":
\n" ); document.write( "-4x = -60
\n" ); document.write( ":
\n" ); document.write( "x = -60/-4
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\n" ); document.write( "x = 15 hrs for F to complete the job
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\n" ); document.write( "Check the x = 15 solution:
\n" ); document.write( "6/10 + 6/15 =
\n" ); document.write( "3/5 + 2/5 = 1 \n" ); document.write( "

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