document.write( "Question 1187411: When two hoses are connected to a swimming pool, they can fill the pool in 4 hrs if both are open. If only the larger hose is open, it can fill the pool in 6 hrs less than the smaller hose. How long will it take each hose to fill the pool? \n" ); document.write( "

Algebra.Com's Answer #818379 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "When two hoses are connected to a swimming pool, they can fill the pool in 4 hrs if both are open.
\n" ); document.write( "If only the larger hose is open, it can fill the pool in 6 hrs less than the smaller hose.
\n" ); document.write( "How long will it take each hose to fill the pool?
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document.write( "Let x = hours to fill, for the smaller hose.\r\n" );
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document.write( "Then the time for the larger hose to fill the pool is  (x+4)  hours.\r\n" );
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document.write( "The equation for the combined rate of work is.\r\n" );
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document.write( "     +  = .    (1)\r\n" );
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document.write( "To solve it, multiply both sides by 4.  You will get\r\n" );
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document.write( "     +  = 1.     (2)\r\n" );
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document.write( "From this point, I just see the answer.  It is  x= 6 hours.\r\n" );
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document.write( "CHECK  equation (2).  Its left side is   +  =  +  = 1   ! Correct !\r\n" );
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document.write( "Alternatively, you can reduce equation (2) to a quadratic equation\r\n" );
document.write( "and solve it using the quadratic fotmula or factoring.\r\n" );
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document.write( "Knowing the answer will facilitate your job.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved and explained.\r
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