document.write( "Question 194440: CAN SOMEONE PLEASE HELP ME WITH THIS ONE???
\n" ); document.write( "I need to drain a pool. I know one pump can drain the pool in 8min and if I use a second pump I can drain the pool in 4min. The problem is the first pump is being used so I can only use the second pump. So I need to know how long it will take me to drain the pool using only the second pump?\r
\n" ); document.write( "\n" ); document.write( "I've tried a few different ways to solve this and nothing comes up right..Thank you, thank you, thank you...
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Algebra.Com's Answer #145890 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
I need to drain a pool. I know one pump can drain the pool in 8min and if I use a second pump I can drain the pool in 4min. The problem is the first pump is being used so I can only use the second pump. So I need to know how long it will take me to drain the pool using only the second pump?
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\n" ); document.write( "Actually you can just look at this and see the answer is 8 min for the 2nd pump also,
\n" ); document.write( "however, that will not always be the case, here is a method that will work for any shared work problem
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\n" ); document.write( "Let t = time required for the 2nd pump to drain the pool by itself
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\n" ); document.write( "Let the completed job = 1; (drained pool)
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\n" ); document.write( "Write the equation for the two pumps working together.
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\n" ); document.write( "Each pump does a fraction of the job, those two fraction must add up to 1
\n" ); document.write( "\"4%2F8\" + \"4%2Ft\" = 1
\n" ); document.write( "multiply the equation by 8t
\n" ); document.write( "8t*\"4%2F8\" + 8t*\"4%2Ft\" = 8t(1)
\n" ); document.write( "cancel out the denominators and you have:
\n" ); document.write( "4t + 8(4) = 8t
\n" ); document.write( "4t + 32 = 8t
\n" ); document.write( "32 = 8t - 4t
\n" ); document.write( "32 = 4t
\n" ); document.write( "t = \"32%2F4\"
\n" ); document.write( "t = 8 min, both pumps pump at the same rate.
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