College

Chelsea left the science museum traveling south three hours before Castel. Castel traveled in the opposite direction, going 15 km/h slower than Chelsea. After three hours, they were 405 km apart. How fast did Chelsea travel?

Answer :

Final answer:

Chelsea traveled at a speed of 75 km/h.


Explanation:

Let's assume that Chelsea's speed is x km/h. Since Castel traveled 15 km/h slower, their speed is x-15 km/h. In three hours, Chelsea traveled 3x km and Castel traveled 3(x-15) km. The total distance between them is the sum of these distances:

3x + 3(x-15) = 405 km

Solving the equation:

6x - 45 = 405

6x = 450

x = 75

Therefore, Chelsea traveled at a speed of 75 km/h.


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