document.write( "Question 92093: The time \"t\" required to empty a tank varies inversely as the rate \"r\" of the pumping. If a pump can empty a tank in 45 minutes at a rate of 600 kL/min, how long will it take a pump to empty the same tank if its rate is 1000 kL/min? \n" ); document.write( "

Algebra.Com's Answer #66945 by funmath(2933) $\"\"$ $\"About$

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The time \"t\" required to empty a tank varies inversely as the rate \"r\" of the pumping. If a pump can empty a tank in 45 minutes at a rate of 600 kL/min, how long will it take a pump to empty the same tank if its rate is 1000 kL/min?
\n" ); document.write( "t varies inversely with r, so $\"t=k%2Fr\"$
\n" ); document.write( "We need to find k. Let t=45 and r=600
\n" ); document.write( " $\"45=k%2F600\"$
\n" ); document.write( " $\"45%28600%29=600%28k%2F600%29\"$
\n" ); document.write( " $\"27000=k\"$
\n" ); document.write( "So our formula therefore is: $\"t=27000%2Fr\"$
\n" ); document.write( "If r=1000 kL/min then:
\n" ); document.write( " $\"t=27000%2F1000\"$ min
\n" ); document.write( "t=27 min
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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