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AMO 2027 Grades 6-7 SET 15 - Self-study Question 1

AMO · AMO 2027 Grades 6-7 SET 15 - Self-study

Question 1

Team A takes 10 days to complete a project. Team B takes 30 days to complete the same project. The two teams now work together on the same project. Meanwhile, Team A rest for 2 days and Team B rest for 8 days. None of the team rests in the same day. How many days are needed to complete the same project?

**Editorial note for this self-study exercise:** Assume constant daily work rates, and that all the stated non-overlapping rest days occur before the project is completed.