SOLUTION: pipe 1 can fill tank in 4 hours time. pipes 1 and 2 together can fill it in 3 hours. pipes 2 and 3 can fill it in 4 hours. how much time would pipe 2 alonr and how much time would

Question 817303: pipe 1 can fill tank in 4 hours time. pipes 1 and 2 together can fill it in 3 hours. pipes 2 and 3 can fill it in 4 hours. how much time would pipe 2 alonr and how much time would pipe 3 alonr require to fill the tank
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
a = V/4
a + b = V/3
b + c + V/4
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a = b + c
a + b + c = a + a
a + b + c = V/4 + V/4
a + b + c = V/2
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b = V/3 - a
b = V/3 - V/4
b = V4/12 - V3/12
b = V/12
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b + c + V/4
c = V/4 - b
c = V/4 - V/12
c = V12/48 - V4/48
c = V/6
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check against earlier a + b + c = V/2:
a + b + c = V/4 + V/12 + V/6
a + b + c = V72/288 + V24/288 + V48/288
a + b + c = V144/288
a + b + c = V/2
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answer:
pipe 1 alone fills tank in 4 hours
pipe 2 alone fills tank in 12 hours
pipe 3 alone fills tank in 6 hours
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