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The eternal battle between linear and non-linear thinking! The teacher expects the answer to be 20 minutes (assuming 10 min per cut), but our green monster student realizes it's actually 15 minutes. Why? Because Marie needs 2 cuts to make 3 pieces, not 3 cuts!
It's a classic rate problem that trips up even seasoned problem-solvers. The key insight: count the cuts, not the pieces. For n pieces, you need (n-1) cuts. The student's logic is flawless - if 10 minutes = 1 cut (creating 2 pieces), then 2 cuts (creating 3 pieces) would take 20 minutes. But wait! The original problem stated 10 minutes for the WHOLE JOB of creating 2 pieces, not per cut!
This is why engineers triple-check their assumptions before building bridges. One wrong assumption and suddenly your Mars orbiter is playing hide-and-seek with the Martian surface!
