It takes 6 hours for a water tank to fill to capacity when the input valve is open and the output valve is closed. When the same water tank is full to capacity, it takes 10 hours to empty the tank if the input valve is closed and the output valve is open. How long, in hours, will it take to fill the tank to capacity if both valves are open?

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Problem Solving questions are mixed in with Data Sufficiency questions to make up the 37 questions of the GMAT Quantitative section, which must be completed in 75 minutes. The Problems You’ll Work On When working through the problem solving questions test your understanding of: Basic math, including fractions, decimals, ratios and proportions, percents, and exponents. Probability and Statistics, including counting techniques, permutations and combinations, basic probability, arithmetic mean, median, mode, and standard deviation. Algebra, including polynomials, linear equations and... Show more

It takes 6 hours for a water tank to fill to capacity when the input valve is open and the output valve is closed. When the same water tank is full to capacity, it takes 10 hours to empty the tank if the input valve is closed and the output valve is open. How long, in hours, will it take to fill the tank to capacity if both valves are open?