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Fastest way to grill four steaks three at a time

Question

A grill has room for at most 33 steaks at once and cooks only the side facing down. Each side of a steak needs 22 minutes, and a steak is ready only when both of its sides are done. What is the shortest total time, in minutes, needed to finish 44 steaks?

Short answer

6 minutes. There are 88 sides to cook and at most 33 fit per 22-minute slot, so at least 33 slots are needed. Rotate so the grill is never under-used: sides A1,B1,C1A_1,B_1,C_1; then A2,B2,D1A_2,B_2,D_1; then C2,D2C_2,D_2.

Adapted from QuantQuestions.io; question and answer rewritten by SelfMadeQuant.com.

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