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AMO 2027 Grades 6-7 SET 13 - Self-study Question 7

AMO · AMO 2027 Grades 6-7 SET 13 - Self-study

Question 7

Nick is counting the sheep in a flock as they cross a road. The sheep begin to cross the road at 2 : 00 p.m. and cross at a constant rate of three sheep per minute. After counting 42 sheep, Nick falls asleep. He wakes up an hour and a half later, at which point exactly half of the total flock has crossed the road since 2:00 p.m. How many sheep are there in the entire flock?


A. 630

B. 621

C. 582

D. 624

E. None of the above

**Editorial note for this self-study exercise:** Enter the number of sheep, rather than an option letter.