document.write( "Question 524066: A man can do a piece of work in 9 hours. After he worked 3 hours alone, he was joined by his son, and they finished the job in 4 1/2 hours. How many hours would it take the son to do the job alone? \n" ); document.write( "

Algebra.Com's Answer #347556 by oberobic(2304) $\"\"$ $\"About$

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The father is able to the job in 9 hr or 1/9 of the job per hr.
\n" ); document.write( "The father worked for 4.5 hr = 9/2 hr.
\n" ); document.write( "The son only worked for 4.5-3=1.5 hr or 3/2 hr.
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\n" ); document.write( "1/9*9/2 + 1/x*3/2 = 1 whole job
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\n" ); document.write( "1/9*9/2 = 9/18 = 1/2
\n" ); document.write( "1/x*3/2 = 3/(2x)
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\n" ); document.write( "1/2 + 3/(2x) = 1
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\n" ); document.write( "(2x + 6)/(4x) = 1
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\n" ); document.write( "2x + 6 = 4x
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\n" ); document.write( "2x = 6
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\n" ); document.write( "x = 3
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\n" ); document.write( "The son can do the job in 3 hr.
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\n" ); document.write( "Check this answer.
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\n" ); document.write( "The father did 1/3 of the job before the son started.
\n" ); document.write( "The father did 1/9*3/2 = 3/18 = 1/6 of the job after the son arrived.
\n" ); document.write( "The father tid 1/3+1/6 = 2/6+1/6 = 3/6 = 1/2 of the job in total.
\n" ); document.write( "The son did 1/3*3/2 = 1/2 of the job.
\n" ); document.write( "1/2+1/2=1.
\n" ); document.write( "Correct.
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\n" ); document.write( "Done.
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