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Australian Intermediate Mathematics Olympiad 2019 Question 1

AIMO AUSTRALIA · Australian Intermediate Mathematics Olympiad 2019

Question 1

Gaston and Jordon always misread recipe cooking times. For example, $1{:}32$ means 1 hour 32 minutes; Jordon reads it as 132 minutes, while Gaston reads it as 1.32 hours. For one recipe their misread times differ by exactly 90 minutes. What is the actual cooking time in minutes?