Calum and his friend cycle from A to C, passing through B. During the trip he asks his friend how far they have cycled. His friend replies “one third as far as it is from here to B”. Ten miles later Calum asks him how far they have to cycle to reach C. His friend replies again “one third as far as it is from here to B”. How far from A will Calum have cycled when he reaches C?
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Junior Mathematical Olympiad 2011 (2011)
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