Problem

2025 AMC 10B Problem 19

A container has a 1 \times 1 square bottom, a 3 \times 3 open square top, and four congruent trapezoidal sides, as shown. Starting when the container is empty, a hose that runs water at a constant rate takes 35 minutes to fill the container up to the midline of the trapezoids.

Problem 19 diagram

How many more minutes will it take to fill the remainder of the container?

\textbf{(A)} 70 \qquad \textbf{(B)} 85 \qquad \textbf{(C)} 90 \qquad \textbf{(D)} 95 \qquad \textbf{(E)} 105


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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