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Australian Intermediate Mathematics Olympiad 2019 Question 6

AIMO AUSTRALIA · Australian Intermediate Mathematics Olympiad 2019

Question 6

A leaky boat initially contains some water and more enters at a constant rate. Each person operates a manual pump at the same constant rate. From a given starting time, five people would pump the boat dry in ten hours; twelve would do so in three hours. How many people are needed to pump it dry in two hours from that starting time?