document.write( "Question 510705: It took 2 hours for 1 person to sweep the yard. How long would it take 4 persons working at the same speed to do the same job?\r
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document.write( "Firstly, it has to take less than 2 hours since the number of persons has been increased.\r
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document.write( "The # of persons has been increased by 3 so: \r
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document.write( "Increase in persons/ Time = 3 / 2 \r
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document.write( "1.5 hours.\r
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Algebra.Com's Answer #341925 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! It took 2 hours for 1 person to sweep the yard. \n" ); document.write( " How long would it take 4 persons working at the same speed to do the same job? \n" ); document.write( ": \n" ); document.write( "Assume they each had broom, and worked at the same rate (2hrs to complete the job) \n" ); document.write( ": \n" ); document.write( "Let t = time required by 4 men doing the job \n" ); document.write( "Let the completed job = 1 \n" ); document.write( ": \n" ); document.write( "Each will do a fraction of the job, and the fractions will add up to 1 \n" ); document.write( " \n" ); document.write( "Multiply thru by 2 \n" ); document.write( "t + t + t + t = 2 \n" ); document.write( "4t = 2 \n" ); document.write( "t = \n" ); document.write( "t = |