document.write( "Question 1053975: Hello there,
\n" ); document.write( "Here is my problem: A tank can be filled by one pump in 50 minutes and by another pump in 60 minutes. A third pump can drain the tank in 75 minutes. If all 3 pumps go into operation, how long will it take to fill the tank?\r
\n" ); document.write( "\n" ); document.write( "I made a table saying which pumps there are and how long it takes to fill the tank or drain. I keep getting an equation like so:\r
\n" ); document.write( "\n" ); document.write( "1/50x + 1/60x - 1/75x = 1\r
\n" ); document.write( "\n" ); document.write( "That simplifes to 7/300x = 1\r
\n" ); document.write( "\n" ); document.write( "Then x = 42.8571 repeated.\r
\n" ); document.write( "\n" ); document.write( "My Online Homework says this answer is wrong. Can you tell me what I am doing wrong?\r
\n" ); document.write( "\n" ); document.write( "Thank you!!
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Algebra.Com's Answer #669165 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Add the rates of pumping and subtract the
\n" ); document.write( "rate of draining ( as you know )
\n" ); document.write( "[ 1 tank filled ] / [ 50 min ]
\n" ); document.write( "[ 1 tank filled ] / [ 60 min ]
\n" ); document.write( "[ 1 tank drained ] / [ 75 min ]
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "Let \"+t+\" = the time in minutes to fill tank
\n" ); document.write( "The rate filling the tank is:
\n" ); document.write( "[ 1 tank filled ] / [ t minutes ]
\n" ); document.write( "------------------------------
\n" ); document.write( "\"+1%2F50+%2B+1%2F60+-+1%2F75+=+1%2Ft+\"
\n" ); document.write( "Multiply both sides by \"+300t+\"
\n" ); document.write( "\"+6t+%2B+5t+-+4t+=+300+\"
\n" ); document.write( "\"+7t+=+300+\"
\n" ); document.write( "\"+t+=+42.857+\" min
\n" ); document.write( "Same as your answer -I would start to doubt the
\n" ); document.write( "online homework. You might want another opinion also.
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