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Sagot :
-one pipe can fill the pool in three hours
this makes the rate for the pipe to fill the pool,
Rate=1/3
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-the other can fill it for 6 hours
Rate=1/6
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Outlet:
-can empty the pool in 4 hours
Rate = -1/4
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Considering that the 3 pipes work at the same time:
let 't' be the number of hours for the pool to be filled
[tex] \frac{1}{3} t + \frac{1}{6} t - \frac{1}{4} t = 1[/tex]
[tex] \frac{1}{4} t = 1[/tex]
t = 4hours
this makes the rate for the pipe to fill the pool,
Rate=1/3
-----------------------------------------------------
-the other can fill it for 6 hours
Rate=1/6
----------------------------------------------------
Outlet:
-can empty the pool in 4 hours
Rate = -1/4
---------------------------------------------------
Considering that the 3 pipes work at the same time:
let 't' be the number of hours for the pool to be filled
[tex] \frac{1}{3} t + \frac{1}{6} t - \frac{1}{4} t = 1[/tex]
[tex] \frac{1}{4} t = 1[/tex]
t = 4hours
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