document.write( "Question 777946: A cistern can be filled in 9 hours but it takes 10 hours due to a leak in its bottom.If the cistern full,then the time the tank leak will take to empty it is \n" ); document.write( "
Algebra.Com's Answer #474348 by josmiceli(19441)\"\" \"About 
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The rate of filling is:
\n" ); document.write( "( 1 tank ) / ( 9 hrs )
\n" ); document.write( "Let \"+-R+\" = the rate that the leak empties the tank
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\n" ); document.write( "Starting with an empty tank, add the rates to get
\n" ); document.write( "the total rate needed to fill the tank
\n" ); document.write( "\"+1%2F9+-+R+=+1%2F10+\"
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\n" ); document.write( "\"+R+=+1%2F9+-+1%2F10+\"
\n" ); document.write( "\"+R+=+10%2F90+-+9%2F90+\"
\n" ); document.write( "\"+R+=+1%2F90+\"
\n" ); document.write( "The rate of leaking is ( 1 tank ) / ( 90 hrs )
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\n" ); document.write( "So, if the tank is full, the tank will empty in 90 hrs\r
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