Subjects algebra

Course Length Ae274A

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Question: Fill in the blank. Cody and Sarah are in a space rover challenge on Mars. When Cody is 110 m away from the finish line, Sarah is 350 m from the starting point. If Cody is 60 m behind Sarah, how long is the course? The course is _____ m long.
1. **State the problem:** We need to find the total length of the course given the distances of Cody and Sarah from the start and finish line, and the fact that Cody is 60 m behind Sarah. 2. **Define variables:** Let the total length of the course be $$L$$ meters. 3. **Given information:** - Cody is 110 m from the finish line, so Cody's position from the start is $$L - 110$$. - Sarah is 350 m from the start. - Cody is 60 m behind Sarah, so $$L - 110 = 350 - 60$$. 4. **Set up the equation:** $$L - 110 = 350 - 60$$ 5. **Simplify the right side:** $$L - 110 = 290$$ 6. **Solve for $$L$$:** $$L = 290 + 110$$ $$L = 400$$ 7. **Answer:** The course is **400 m** long.