document.write( "Question 165008: If my sister takes twice as long as I to do her taxes but we can do her taxes together in 10 hours, how long will it take me to do her taxes alone?\r
\n" ); document.write( "\n" ); document.write( "I tried to do it and I came up with 2x + x = 10, 3x = 10, x = 3.33
\n" ); document.write( "I know this is not correct because it should take me longer than 10 hours and I think the answer is 13.33 hours for me to do her taxes but I don't know how to get the answer. I am missing something.
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Algebra.Com's Answer #121619 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
If my sister takes twice as long as I to do her taxes but we can do her taxes together in 10 hours, how long will it take me to do her taxes alone?
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\n" ); document.write( "Your DATA:
\n" ); document.write( "time = x hr/job ; rate = 1/x job/hr
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\n" ); document.write( "Sister DATA:
\n" ); document.write( "time = 2x hr/job ; rate = 1/2x job/hr
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\n" ); document.write( "Together DATA:
\n" ); document.write( "time = 10 hr/job ; rate = 1/10 job/hr.
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\n" ); document.write( "EQUATION:
\n" ); document.write( "rate + rate = together rate
\n" ); document.write( "1/x + 1/2x = 1/10
\n" ); document.write( "Multiply thru by 10x to get:
\n" ); document.write( "10 + 5 = x
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\n" ); document.write( "x = 15 hrs. (time it will take you alone)
\n" ); document.write( "2x = 30 hrs. (time it will take your sister alone)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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