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MathNet 2006 — Part 03 Question 42

Math Olympiad Vault · MathNet 2006 — Part 03

Question 42

A craftsman starts working at 8 am and produces 6 bracelets every twenty minutes; His assistant starts working an hour later and produces 8 bracelets of the same type every half hour. The craftsman stops working at $12~\mathrm{h}$, but tells his assistant that he must continue working until he produces the same as him. What time will the assistant stop?

A) $12~\mathrm{h}$

B) $12~\mathrm{h}~30~\mathrm{min}$

C) $13~\mathrm{h}$

D) $13~\mathrm{h}~30~\mathrm{min}$

E) $14~\mathrm{h}~30~\mathrm{min}$