document.write( "Question 923884: a tank can be filled in 3 hours with a pipe.It can be filled in 5 hours with another pipe and it can be drained (if full) in 7 hrs by an emergency valve.How many hours will it take to fill the tank if both the pipes and the emergency valve are opened simultaneously?\r
\n" ); document.write( "\n" ); document.write( "a)4.32
\n" ); document.write( "b)3.52
\n" ); document.write( "c)2.56
\n" ); document.write( "D)none
\n" ); document.write( "

Algebra.Com's Answer #560431 by TimothyLamb(4379)\"\" \"About 
You can put this solution on YOUR website!
rate = v/t
\n" ); document.write( "---
\n" ); document.write( "x = pipe-1 rate = v/3
\n" ); document.write( "y = pipe-2 rate = v/5
\n" ); document.write( "z = drain rate = v/7
\n" ); document.write( "---
\n" ); document.write( "x + y + z = v/3 + v/5 - v/7
\n" ); document.write( "x + y + z = 5*7v/3*5*7 + 3*7v/3*5*7 - 3*5v/3*5*7
\n" ); document.write( "x + y + z = 35v/105 + 21v/105 - 15v/105
\n" ); document.write( "x + y + z = 41v/105
\n" ); document.write( "x + y + z = (41/41)v/(105/41)
\n" ); document.write( "x + y + z = v/(105/41)
\n" ); document.write( "x + y + z = rate = v/t = v/(105/41)
\n" ); document.write( "---
\n" ); document.write( "t = 105/41
\n" ); document.write( "t = 2.561 hours
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "c)2.56
\n" ); document.write( "---
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