APFIVE Related Rates Trapezoidal Trough
A water trough has a trapezoidal cross-section with a bottom width of 2 feet, a top width of 6 feet, and a depth of 4 feet. The trough is 10 feet long. Water is being pumped into the trough at a constant rate of 8 cubic feet per minute. At what rate, in feet per minute, is the water level rising when the water is 3 feet deep?
A
$$\displaystyle \frac{2}{15}$$
B
$$\displaystyle \frac{1}{6}$$
C
$$\displaystyle \frac{4}{25}$$
D
$$\displaystyle \frac{8}{45}$$
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