MathDB
2023 Fall LMT Theme p1A

Source:

December 23, 2023
theme2023FAlLalg

Problem Statement

Sam dumps tea for 66 hours at a constant rate of 6060 tea crates per hour. Eddie takes 44 hours to dump the same amount of tea at a different constant rate. How many tea crates does Eddie dump per hour?
Proposed by Samuel Tsui
Solution. 90\boxed{90} Sam dumps a total of 660=3606 \cdot 60 = 360 tea crates and since it takes Eddie 44 hours to dump that many he dumps at a rate of 3604=90\dfrac{360}{4}= \boxed{90} tea crates per hour.