document.write( "Question 767548: A water tank is being filled by two inlet pipes. Pipe A can fill the tank in half the time it would take pipe B to fill the tank. Both pipes can fill the tank in 6 hours. How long does it take to fill the tank using only pipe A? \n" ); document.write( "

Algebra.Com's Answer #467704 by lwsshak3(11628) $\"\"$ $\"About$

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A water tank is being filled by two inlet pipes. Pipe A can fill the tank in half the time it would take pipe B to fill the tank. Both pipes can fill the tank in 6 hours. How long does it take to fill the tank using only pipe A?
\n" ); document.write( "***
\n" ); document.write( "let x=time pipe A can fill the tank alone
\n" ); document.write( "1/x=its work rate
\n" ); document.write( "2x=time pipe B can fill the tank alone
\n" ); document.write( "1/2x=its work rate
\n" ); document.write( "1/6=work rate when both pipes working together
\n" ); document.write( "sum of individual work rate=work rate working together
\n" ); document.write( " $\"1%2Fx%2B1%2F2x=1%2F6\"$
\n" ); document.write( " $\"%282%2B1%29%2F2x=1%2F6\"$
\n" ); document.write( "2x=18
\n" ); document.write( "x=9
\n" ); document.write( "How long does it take to fill the tank using only pipe A? 9 hrs \n" ); document.write( "

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