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Australian AMC 2012 - Upper Primary Question 26

AMC AUSTRALIA · Australian AMC 2012 - Upper Primary

Question 26

Traffic signals at each intersection on a main road all change on the same 2-minute cycle. A taxi driver knows that it is exactly 3.5 km from one intersection to the next. Without breaking the 50 km/h speed limit, what is the highest average speed, in kilometres per hour, he can travel to get to each intersection as it just changes to green?

**Interpretation note (AI):** The verified answer assumes that all signals start green at the same instant every two minutes. Equal cycle lengths alone, without this synchronization, would not determine the answer.