There are some trees planted along the roadside. There will be a tree for every $$3$$ meters. Olivia is going home from school (assuming the speed of walking is constant). She takes $$3$$ minutes to walk from the first tree to the $$101th$$ tree. If the distance between the school and Olivia's home is $$4000$$ meters, how long does it take for her to travel to school (without taking into consideration the width of the tree)? 
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