Mike is doing a one-hour cycling challenge. He has a computer which predicts how far he will cycle in the rest of the hour based on his average speed so far. After cycling 1 km in minutes, he checks the distance the computer predicts he will cycle in the remaining time and it shows km. In the next 36 minutes, he cycles 15 km. He checks the computer again and finds it still predicts he will cycle km in the remaining time. Find the distance shown on the computer each time he looks.
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Maclaurin Mathematical Olympiad (2024)
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