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Australian AMC 2015 - Intermediate Question 29

AMC AUSTRALIA · Australian AMC 2015 - Intermediate

Question 29

At Berracan station, northbound trains arrive every three minutes starting at noon and finishing at midnight, while southbound trains arrive every five minutes starting at noon and finishing at midnight. Each day, I walk to Berracan station at a random time in the afternoon and wait for the first train in either direction. On average, how many seconds should I expect to wait?