Related Rates Trapezoidal Trough
The cross-section of a 10-foot-long water trough is a trapezoid with a depth 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 depth of the water is increasing when the water is 3 feet deep?
A
$$\displaystyle \frac{1}{6}$$
B
$$\displaystyle \frac{8}{45}$$
C
$$\displaystyle \frac{4}{25}$$
D
$$\displaystyle \frac{2}{15}$$
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