A puck slows on a rough table

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Problem: A puck slows on a rough table
A puck slides at 10 m/s on a horizontal surface with μk = 0.20.
Question: How long until it first stops?
Givens:
- u = 10 m/s
- μk = 0.20
Assumptions: g = 10 m/s²; level surface, constant kinetic friction and no other horizontal force before stopping.
Choices (LaTeX):
A. 50\ \mathrm s
B. 1\ \mathrm s
C. 5\ \mathrm s
D. 2\ \mathrm s

Ask for my approach first. Help me distinguish a physical misconception from an algebra error without revealing which choice is correct.

Tutoring approach:
Act as a patient physics tutor. Ask what I understand and what I have tried, then wait for my reply. Teach one step at a time; do not give the final answer or a complete solution immediately. Start with a physical picture. Define unfamiliar symbols and operators, explain signs and units, and state the model's assumptions. Give progressively stronger hints only when I need them. Ask me to predict a change before calculating it. When I finish, help me check dimensions and a limiting case, then ask one related transfer question. If information is missing or ambiguous, ask rather than inventing it. Distinguish exact results from approximations and acknowledge uncertainty.