document.write( "Question 379509: a fish tank can be filled in 5 minutes if water enters through a pipe alone, or 8 minutes if water enters through a hose alone. If water enters through both a pipe and a hose, how long will it take to fill the fish tank? \n" ); document.write( "
Algebra.Com's Answer #269476 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
Let x=time needed to fill tank with both pipe and hose turned on
\n" ); document.write( "Then, together, the pipe and hose fills at the rate of 1/x tank per min
\n" ); document.write( "Pipe fills at the rate of 1/5 tank per min
\n" ); document.write( "Hose fills at the rate of 1/8 tank per min
\n" ); document.write( "Together the pipe and hose fills at the rate of 1/5 + 1/8 tank per min
\n" ); document.write( "So our equation to solve is
\n" ); document.write( "1/5+1/8=1/x multiply each term by 40x
\n" ); document.write( "8x+5x=40
\n" ); document.write( "13x=40
\n" ); document.write( "x=3.077 min----time needed with both pipe and hose working together\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "in 3.077 min, pipe fills (1/5)*3.077 of the tank
\n" ); document.write( "In 3.077 min hose fills (1/8)*3.077 of the tank\r
\n" ); document.write( "\n" ); document.write( "(1/5)*3.077 +(1/8)*3.077 should equal 1 tank
\n" ); document.write( "24.616/40 + 15.385/40=1
\n" ); document.write( "40.001/40~~~~~~~1\r
\n" ); document.write( "\n" ); document.write( "Hope this helps--ptaylor\r
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