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2023 BIMC keystage2-EMIC team Question 3

xIMC · 2023 BIMC keystage2-EMIC team

Question 3

Two couriers, Alice and Bob, travel at different constant speeds. Alice departs from village $A$ towards village $B$ and Bob departs from village $B$ towards village $A$ at the same time. When they meet at point $C$, both turn around and return to their starting points. After some time, Alice realizes that she has forgotten to give Bob a package, so she turns around again and catches up with Bob halfway between $C$ and $B$. After delivering the package, Alice turns around to go back to $A$ and Bob continues to $B$. If the distance between $A$ and $B$ is 24 km, when Bob arrives at $B$, what is the distance, in km, of Alice from $A$?