Related Rates Trapezoidal Trough

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A 10-foot-long water trough has a trapezoidal cross-section with a height of 4 feet, a bottom width of 2 feet, and a top width of 6 feet. Water is pumped into the trough at a rate of 8 cubic feet per minute. What is the rate, in feet per minute, at which the water level is rising when the water is 3 feet deep?

$\displaystyle \frac{4}{25}$

$\displaystyle \frac{2}{15}$

$\displaystyle \frac{1}{6}$

$\displaystyle \frac{8}{45}$

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