document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=886388>Question 886388</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a practice GRE question from a Kaplan helpsite.  I believe the answer is wrong, but maybe I'm not understanding it.  The question is:\r<BR>\n" );
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document.write( "One hose can fill a pool 2.25 times faster than another hose can.  When both hoses are used, they fill the pool in 10 hours.  How long would it take to fill the pool if only the faster hose is used?\r<BR>\n" );
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document.write( "Their answer is 90/13 hours.  Logically this doesn't make sense, how can one hose (7 hours) be faster than two hoses (10 hours)?  I came up with 14.4 hours (13/9) but can't seem to get the math to look right.  Thanks for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #535890 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=535890\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One hose can fill a pool 2.25 (9/4) times faster than another hose can. When both hoses are used, they fill the pool in 10 hours. How long would it take to fill the pool if only the faster hose is used?<BR>\n" );
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document.write( "Faster hose DATA:<BR>\n" );
document.write( "time = x hrs/job ; rate = 1/x job/hr<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Slower hose DATA:<BR>\n" );
document.write( "time = (9/4)x hrs/job ; rate = (4/9x) job/hr<BR>\n" );
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document.write( "Together DATA:<BR>\n" );
document.write( "time = 10 hrs/job; rate = 1/10 job/hr<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/x + (4/(9x)) = 1/10<BR>\n" );
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document.write( "Multiply thru by 90x to get:<BR>\n" );
document.write( "90 + 40 = 9x<BR>\n" );
document.write( "9x = 130<BR>\n" );
document.write( "x = 130/9 = 14.4 hrs (time for faster hose)<BR>\n" );
document.write( "(9/4)x = 32.5 hrs (time for slower hose)<BR>\n" );
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document.write( "You are correct.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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