Time-Distance Graph: Finding Break Points for Two Cyclists Starting at 4 and 5

Two cyclists go out for a ride.

The first one starts at 4, while the second starts at 5.

At what times do the riders take a break?

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1

Understand the problem

Two cyclists go out for a ride.

The first one starts at 4, while the second starts at 5.

At what times do the riders take a break?

Time000111222333444555666777888999101010111111121212131313141414151515161616555101010151515202020252525303030353535404040454545111222

2

Step-by-step solution

The graph suggests that Cyclist 1 takes a break starting at 6 o'clock, as indicated by the appearance of the red flat section starting at the marker for 6. Similarly, Cyclist 2 takes a break starting at 8 o'clock, identified from the blue flat section starting at the marker for 8.

Thus, the riders take their breaks at:

  • Cyclist 1 - at 6
  • Cyclist 2 - at 8

Therefore, the solution to the problem matches the given correct answer.

Conclusion: Cyclist 1 takes a break at t=6 t = 6 , and Cyclist 2 takes a break at t=8 t = 8 .

3

Final Answer

Cyclist 1 - at 6
Cyclist 2 - at 8

Practice Quiz

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What is the solution to the following inequality?

\( 10x-4≤-3x-8 \)

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