SOLUTION: if hose a can fill up a swimming pool in 6 hours, hose b in 3 hours, hose c in 2 hours, how long will it take to fill up the pool using all 3 hoses?

Question 816590: if hose a can fill up a swimming pool in 6 hours, hose b in 3 hours, hose c in 2 hours, how long will it take to fill up the pool using all 3 hoses?

Found 2 solutions by Alan3354, TimothyLamb:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
if hose a can fill up a swimming pool in 6 hours, hose b in 3 hours, hose c in 2 hours, how long will it take to fill up the pool using all 3 hoses?
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Each hour, the 3 hoses fill 1/6 + 1/3 + 1/2 of the pool.

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
V is the pool's volume
---
fill rates:
a = V/6
b = V/3
c = V/2
---
effective fill rate with three hoses:
e = a + b + d
e = V/6 + V/3 + V/2
e = 6V/36 + 12V/36 + 18V/36
e = 36V/36
e = V (volume units / hour)
---
rate = units / time
time = units / rate
---
time to fill pool:
t = units / rate
t = V (volume units) / V (volume units / hour)
t = 1 hour
---
Answer:
t = 1 hour
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