document.write( "Question 310089: the flow rate for one pipe is 7 times that of another pipe. A swimming pool can be filled in 21 hours using both pipes. Find the time required to fill the pool using only the pipe with the lower flow rate
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Algebra.Com's Answer #221793 by ankor@dixie-net.com(22740)\"\" \"About 
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the flow rate for one pipe is 7 times that of another pipe.
\n" ); document.write( "A swimming pool can be filled in 21 hours using both pipes.
\n" ); document.write( " Find the time required to fill the pool using only the pipe with the lower flow rate
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\n" ); document.write( "Let x = time to fill the pool using smaller pipe (lower flow rate)
\n" ); document.write( "then
\n" ); document.write( "\"1%2F7\"x = time to fill the pool using the larger pipe
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\n" ); document.write( "Let the completed job = 1; (a full pool)
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\n" ); document.write( "\"21%2F%28x%2F7%29\" + \"21%2Fx\" = 1
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\n" ); document.write( "invert the dividing fraction and mult
\n" ); document.write( "\"%2821%2A%287%2Fx%29%29\" + \"21%2Fx\" = 1
\n" ); document.write( ":
\n" ); document.write( "\"147%2Fx\" + \"21%2Fx\" = 1
\n" ); document.write( "Multiply by x
\n" ); document.write( "147 + 21 = x
\n" ); document.write( "168 = x
\n" ); document.write( "Smaller pipe requires 168 hrs to fill the pool
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\n" ); document.write( "Check this solution
\n" ); document.write( "Larger pipe: 168/7 = 24 hrs by itself
\n" ); document.write( "then
\n" ); document.write( "\"21%2F24\" + \"21%2F168\" =
\n" ); document.write( ".875 + .125 = 1
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