Algebra-2

Question Analysis
This problem assesses the ability to solve rational equations in a real-world context involving work rates.

Key Concept Explanation
The problem involves setting up a rational equation based on the given information about the filling rates of the pipes.

Step-by-step Solution
1. Let be the time it takes to fill the tank when both pipes are open.
2. The rate of the first pipe is of the tank per hour, and the rate of the second pipe is of the tank per hour.
3. Set up the combined rate equation: .
4. Find a common denominator:

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