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Question 816039: [ A shark tank contains a fill hose and drainage pipe. The tank can be filled in 4 hours using the [hose]. The tank can be emptied in 5 hours using the drain. How long will it take to fill the tank with the drain open? (You must show the equation, all solving steps, and state your final answer with appropriate units.) ]
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! V is the tank's volume
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fill rate:
f = V/4 hours
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drain rate:
d = V/5 hours
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effective fill rate with the drain open:
e = f - d
e = V/4 - V/5
e = V5/20 - V4/20
e = V/20
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rate = units / time
time = units / rate
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Answer:
time to fill tank with drain open:
t = units / rate
t = V / (V/20)
t = 20 hours
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