document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=98661>Question 98661</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hose can fill a swimming pool in 6 hours. Another hose needs 3 more hours to fill the pool than the two hoses combined. How long would it take the second hose to fill the pool?  </SPAN>\n" );
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document.write( "       A hose can fill a swimming pool in 6 hours. Another hose needs 3 more hours to fill the pool than the two hoses combined. How long would it take the second hose to fill the pool? \r<BR>\n" );
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document.write( "          Time taken by horse A to fill the pool = 6 hrs\r<BR>\n" );
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document.write( "          Time taken by horse B to fill the pool = y hrs\r<BR>\n" );
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document.write( "          Time taken by both together to fill the pool = x hrs\r<BR>\n" );
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document.write( "                       therefore y = x+3........(1)\r<BR>\n" );
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document.write( "         qn'ty filled by horse A in 1 hr = 1/6\r<BR>\n" );
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document.write( "         qn'ty filled by horse B in 1 hr = 1/y<BR>\n" );
document.write( "         qn'ty filled by both in 1 hr = 1/x\r<BR>\n" );
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document.write( "           therefore 1/x = 1/6+1/y........(2)\r<BR>\n" );
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document.write( "        substituting for y in eq'n (2) we get\r<BR>\n" );
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document.write( "                    1/x = 1/6+1/(x+3)\r<BR>\n" );
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document.write( "                   1/x = x+3+6/6(x+3)\r<BR>\n" );
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document.write( "                   1/x = x+9/6(x+3)\r<BR>\n" );
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document.write( "                  6(x+3) = x(x+9)\r<BR>\n" );
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document.write( "                   6x+18 = x^2+9x\r<BR>\n" );
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document.write( "                    x^2+9x-6x-18 = 0<BR>\n" );
document.write( "                    x^2+3x-18 = 0\r<BR>\n" );
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document.write( "                     x^2+6x-3x-18 = 0\r<BR>\n" );
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document.write( "                     x(x+6)-3(x+6)= 0\r<BR>\n" );
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document.write( "                       (x+6)(x-3)= 0\r<BR>\n" );
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document.write( "             substituting for x in eq'n (1)   we get y = x+3\r<BR>\n" );
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document.write( "                             x-3 = 0 or x = 3  therefore y = 3+3 = 6\r<BR>\n" );
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document.write( "       Horse B would take 6 hrs to fil the pool </SPAN>\n" );
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