document.write( "Question 194440: CAN SOMEONE PLEASE HELP ME WITH THIS ONE???
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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
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document.write( "I've tried a few different ways to solve this and nothing comes up right..Thank you, thank you, thank you... \n" );
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Algebra.Com's Answer #145890 by ankor@dixie-net.com(22740) 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? \n" ); document.write( ": \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 \n" ); document.write( ": \n" ); document.write( "Let t = time required for the 2nd pump to drain the pool by itself \n" ); document.write( ": \n" ); document.write( "Let the completed job = 1; (drained pool) \n" ); document.write( ": \n" ); document.write( "Write the equation for the two pumps working together. \n" ); document.write( ": \n" ); document.write( "Each pump does a fraction of the job, those two fraction must add up to 1 \n" ); document.write( " \n" ); document.write( "multiply the equation by 8t \n" ); document.write( "8t* \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 = \n" ); document.write( "t = 8 min, both pumps pump at the same rate. \n" ); document.write( " |