Time-Distance Graph: Finding When Two Cyclists Meet Starting at 4:00 and 5:00

Two cyclists go for a ride along the same path.

The first cyclist leaves at 4, while the second cyclist leaves at 5.

At what time do they meet?

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Step-by-step written solution

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1

Understand the problem

Two cyclists go for a ride along the same path.

The first cyclist leaves at 4, while the second cyclist leaves at 5.

At what time do they meet?

Time000111222333444555666777888999101010111111121212131313141414151515161616555101010151515202020252525303030353535404040454545111222

2

Step-by-step solution

The problem asks us to determine if the two cyclists meet after departing at different times. To solve this, we would analyze the functions or the possible graphical representation of their journey concerning time.

From the provided scenario, cyclist one starts at 4 and cyclist two at 5. Without specific speed and distance, the problem might hint at a graphical or conceptual analysis.

Upon examining this scenario, since no intersection of their paths was indicated (or given speeds and times to compute), we need to conclude based on the apparent description or plot.

Without specific data points indicating overlap or meeting times between the two cyclists, we assume the visual information presented suggests that they indeed do not encounter each other on their paths.

Therefore, the cyclists do not meet, confirming the conclusion as per the given choices.

Therefore, the solution to the problem is: The cyclists do not meet.

3

Final Answer

The cyclists do not meet.

Practice Quiz

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What is the solution to the following inequality?

\( 10x-4≤-3x-8 \)

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