document.write( "Question 1170604: It takes Robert 9 hours longer to construct a fence than it takes Eldin. If they work together,
\n" ); document.write( "they can construct the fence in 20 hours. How long would it take each, working alone,
\n" ); document.write( "to construct the fence?
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Algebra.Com's Answer #795451 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "It takes Robert 9 hours longer to construct a fence than it takes Eldin. If they work together, they can construct the fence in 20 hours. How long would it take each, working alone, to construct the fence?
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Let time it takes Robert to do the job, be R
\n" ); document.write( "Then time it takes Eldin is: R - 9
\n" ); document.write( "Therefore, Robert can do \"1%2FR\" of job in 1 hour, while Eldin can do \"1%2F%28R+-+9%29\" of job in 1 hour
\n" ); document.write( "We then get the following equation: \"matrix%281%2C3%2C+1%2FR+%2B+1%2F%28R+-+9%29%2C+%22=%22%2C+1%2F20%29\"
\n" ); document.write( "20(R - 9) + 20R = R(R - 9) ------- Multiplying by LCD, 20R(R - 9)
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\n" ); document.write( "(R - 45)(R - 4) = 0
\n" ); document.write( "Robert's time to complete job, alone: \"highlight_green%28matrix%281%2C2%2C+45%2C+hours%29%29\" OR R = 4 (ignore)
\n" ); document.write( "Eldin's time to complete job, alone: \"highlight_green%28matrix%281%2C4%2C+45+-+9%2C+%22=%22%2C+36%2C+hours%29%29\" \n" ); document.write( "
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