document.write( "Question 1132269: It takes Phoebe and Karen 2 hours and 40 minutes in making a long gown.working alone Karen would need 4 hours longer than Phoebe to finish the job.How long will each of them to do the job alone?
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Algebra.Com's Answer #749279 by MathTherapy(10557)\"\" \"About 
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\n" ); document.write( "It takes Phoebe and Karen 2 hours and 40 minutes in making a long gown.working alone Karen would need 4 hours longer than Phoebe to finish the job.How long will each of them to do the job alone?
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Let time Karen takes be H
\n" ); document.write( "Then time Phoebe takes = H - 4
\n" ); document.write( "And, Karen and Phoebe can do \"matrix%281%2C3%2C+1%2FH%2C+and%2C+1%2F%28H++-++4%29%29\" of job in 1 hour, respectively
\n" ); document.write( "We then get: ======> ======> \"matrix%281%2C3%2C+8%2F%283H%29+%2B+8%2F3%28H+-+4%29%2C+%22=%22%2C+1%29\"
\n" ); document.write( "8(H - 4) + 8H = 3H(H - 4) -------- Multiplying by LCD, 3H(H - 4)
\n" ); document.write( "\"matrix%281%2C3%2C+8H+-+32+%2B+8H%2C+%22=%22%2C+3H%5E2+-+12H%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+3H%5E2+-+12H+-+16H+%2B+32%2C+%22=%22%2C+0%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+3H%5E2+-+28H+%2B+32%2C+%22=%22%2C+0%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+3H%5E2+-+24H+-+4H+%2B+32%2C+%22=%22%2C+0%29\"
\n" ); document.write( "3H(H - 8) - 4(H - 8) = 0
\n" ); document.write( "(H - 8)(3H - 4) = 0_____H - 8 = 0 OR \"matrix%281%2C4%2C+H%2C+%22=%22%2C+4%2F3%2C+%22%28IGNORE%29%22%29\"
\n" ); document.write( "H, or time Karen takes: \"highlight_green%28matrix%281%2C2%2C+8%2C+hours%29%29\"
\n" ); document.write( "Time Phoebe takes: \"highlight_green%28matrix%281%2C4%2C+8+-+4%2C+%22=%22%2C+4%2C+hours%29%29\" \n" ); document.write( "
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