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

AMO · AMO 2027 Grades 6-7 SET 1 - Self-study

Question 15

Sage has a walking speed of 300 feet per minute. On the way to gate 14C at the airport, Sage has the option of using a moving sidewalk. By simply standing on the sidewalk, it would take 4 minutes to get to the gate that is 800 feet away.

a) How much time will it take Sage to walk the distance to the gate without using the moving sidewalk?

b) How much time will it take Sage to get to the gate by walking on the moving sidewalk?

c) After traveling 200 feet (by standing on the sidewalk), Sage notices a Moonbucks, and turns around on the moving sidewalk. How long will it take Sage to get back to the beginning of the moving sidewalk, walking in the opposite direction? Assume the sidewalk is empty of other travelers.