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Problem #98 EASY

The Spinning Coin and the Moving Bee

Paradox Limits Math

Problem Statement

A bee starts at one flower and flies to another flower 1 km away. Two trains, each 1 km from the bee's starting flower, begin travelling toward each other at 50 km/h each. They will collide in 1 hour when they meet in the middle. The bee flies back and forth at 75 km/h between the trains as they approach each other — turning around every time it reaches a train. How far does the bee fly in total before the trains collide?

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