document.write( "Question 213071: allan can finish a set of furniture in 8 days. ben can finish the same set of furniture in 6 days. if allan starts working for 2 days, and then ben joined him, in how many days will the set of furniture be finished by the two men? \n" ); document.write( "
Algebra.Com's Answer #160966 by stanbon(75887)\"\" \"About 
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allan can finish a set of furniture in 8 days. ben can finish the same set of furniture in 6 days. if allan starts working for 2 days, and then ben joined him, in how many days will the set of furniture be finished by the two men?
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\n" ); document.write( "Allan's Rate = 1/8 days/job
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\n" ); document.write( "Ben's Rate = 1/6 days/job
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\n" ); document.write( "Allan works for 2 days and finished 2(1/8) = 1/4 th of the job.
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\n" ); document.write( "Equation:
\n" ); document.write( "Together rate = (1/8 + 1/6) = 14/48 = 7/24 job/day
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\n" ); document.write( "Let x be the number of days for allan and ben to finish 3/4 th of the job.
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\n" ); document.write( "x(7/24) = 3/4
\n" ); document.write( "x = (24/7)(3/4)
\n" ); document.write( "x = 18/7 = 2 4/7 days
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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