document.write( "Question 535966: How long will it take to fill a reservoir with intake pipes A and B.If the reservoir can be filled by A alone in 5 days and B alone in 3 days?
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Algebra.Com's Answer #352038 by oberobic(2304)\"\" \"About 
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Pipe A can do it in 5 days, so it does 1/5 per day.
\n" ); document.write( "Pipe B can do it in 3 days, so it does 1/3 per day.
\n" ); document.write( "x = number of days working together.
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\n" ); document.write( "(1/5+1/3)*x = 1 full reservoir
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\n" ); document.write( "(3/15 + 5/15)*x = 1
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\n" ); document.write( "8/15 * x = 1
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\n" ); document.write( "8x = 15
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\n" ); document.write( "x = 15/8 = 1 7/8 days to fill the reservoir working together.
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\n" ); document.write( "To check, determine how much of the job each can do in 15/8 days.
\n" ); document.write( "1/5*15/8 = 3/8
\n" ); document.write( "1/3*15/8 = 5/8
\n" ); document.write( "3/8 + 5/8 = 1
\n" ); document.write( "Correct.
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