document.write( "Question 66831: A sewage treatment plant has two inlet pipes to its settling pond.
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document.write( "One can fill the pond in 10 hours, the other in 12 hours. If the first
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document.write( "pipe is open for 5 hours and then the second pipe is opened, how long
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document.write( "will it take to fill the pond? \n" );
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Algebra.Com's Answer #47518 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A sewage treatment plant has two inlet pipes to its settling pond. \n" ); document.write( "One can fill the pond in 10 hours, the other in 12 hours. If the first \n" ); document.write( "pipe is open for 5 hours and then the second pipe is opened, how long \n" ); document.write( "will it take to fill the pond? \n" ); document.write( "----------------- \n" ); document.write( "1st pipe DATA: \n" ); document.write( "Time to fill = 10 hr/job ; Rate = (1/10)job/hr \n" ); document.write( "If 1st pipe is open 5 hours it completes (1/2) of the job. \n" ); document.write( "------------------ \n" ); document.write( "2nd pipe DATA: \n" ); document.write( "Time to fill = 12 hr/job ; Rate = (1/12)job/hr \n" ); document.write( "----------------- \n" ); document.write( "EQUATION: \n" ); document.write( "Let x be the number of hours the pipes are working to finish filling the tank. \n" ); document.write( "x(1/10)+1/12)= (1/2) job \n" ); document.write( "x(22/120)=1/2 \n" ); document.write( "x=120/44 \n" ); document.write( "x=30/11 \n" ); document.write( "x=2.7272... hrs to finish filling the tank. \n" ); document.write( " |