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Australian AMC 2009 - Senior Question 29

AMC AUSTRALIA · Australian AMC 2009 - Senior

Question 29

The country of Big Wally has a railway which runs in a loop 1080 km long. Three companies, A, B and C run trains on the track and plan to build stations. Company A will build three stations, equally spaced at 360 km intervals. Company B will build four stations at 270 km intervals and Company C will build five stations at 216 km intervals.

Question illustration

The government tells them to space their stations so that the longest distance between consecutive stations is as small as possible. What is this distance in kilometres?