Interval and Pickup Problems: Problem 3

Problem: The three elementary classes A, B, and C are going on a field trip. The bus they are taking can only take one class at a time, meaning each class will have to hike a certain amount of distance. First, Class A takes a bus and stops before reaching the destination. The bus turns around and goes back to Classes B and C, and picks up Class B as Classes A and C continue to walk. Then the bus drops Class B off before reaching the destination and turns around to pick up Class C. By the time the bus drops Class C off, all three classes have reached the destination. The walking speed of the classes is 5 kilometers per hour, and the driving speed of the bus is 55 kilometers per hour. The distance from the starting point to their destination is 8 kilometers. How many hours did they take to travel?

Key: Use ratios and a sketch

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