Maths Olympiad Prep

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Algebra Difficulty 5.2 AIME, harder Find the answer

Problem 3.4. Pasha knows the speed of his motorboat. He calculated that it would take him 44 minutes to travel from the pier to the bridge and back. But in his calculations, he forgot that the river has a current. How many minutes will Pasha actually need for the planned route if it is known that the speed of the current is exactly 3 times less than the speed of the motorboat? (The speeds of the motorboat and the current are constant.)

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Answer: 49.5 .

## 7th grade, problem 4

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