document.write( "Question 176040: Julio can fill a water tank in four minutes using a large hose. He takes 6 minutes using a smaller hose. How long will it take if he uses both hoses? \n" ); document.write( "

Algebra.Com's Answer #131164 by josmiceli(19441) $\"\"$ $\"About$

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You must add the rates to get the combined rate
\n" ); document.write( "In words:
\n" ); document.write( "{1 water tank/time to fill with large hose) + (1 water tank/time to fill with small hose) = (1 water tank)/(time to fill with both hoses)
\n" ); document.write( " $\"1%2F4+%2B+1%2F6+=+1%2Fx\"$
\n" ); document.write( "multiply both sides by $\"24x\"$
\n" ); document.write( " $\"6x+%2B+4x+=+24\"$
\n" ); document.write( " $\"10x+=+24\"$
\n" ); document.write( " $\"x+=+2.4\"$
\n" ); document.write( "It takes 2.4 minutes to fill the tank with both hoses \n" ); document.write( "

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