document.write( "Question 829041: A pump can fill a swimming pool in 8 hours. Another lump can fill the same pool in 9 hours. How long will it take both pumps working together to fill the pool? \n" ); document.write( "

Algebra.Com's Answer #499649 by TimothyLamb(4379) $\"\"$ $\"About$

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\n" ); document.write( "rate pump 1:
\n" ); document.write( "r = 1/8
\n" ); document.write( "---
\n" ); document.write( "rate pump 2:
\n" ); document.write( "r = 1/9
\n" ); document.write( "---
\n" ); document.write( "rate pumps 1 & 2 together:
\n" ); document.write( "1/8 + 1/9
\n" ); document.write( "9/72 + 8/72
\n" ); document.write( "17/72
\n" ); document.write( "---
\n" ); document.write( "time = 1/rate:
\n" ); document.write( "---
\n" ); document.write( "time pumps 1 & 2 together:
\n" ); document.write( "time = 1/r = 72/17
\n" ); document.write( "time = 4.235294117647059
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "time = 4 hours, 14 minutes, and 7.06 seconds
\n" ); document.write( "---
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