Discussion
Pipe A can fill a tank in 6 hours and pipe B can empty it in 8 hours. If both are opened together, how long will the tank take to fill ?
Answer: C
Correct answer: 24 hours
Treat the emptying pipe as a negative rate.
\[\frac{1}{6} - \frac{1}{8} = \frac{4 - 3}{24} = \frac{1}{24}\]
The tank fills at one twenty-fourth per hour, so it takes 24 hours. Had B been the faster pipe the net rate would be negative and the tank would never fill.
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