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2025 AMC 10B Question 19

AMC10 · 2025 AMC 10B

Question 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.

Question illustration

How many more minutes will it take to fill the remainder of the container?
  1. $70$
  2. $85$
  3. $90$
  4. $95$
  5. $105$