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In a bike race, Julie finished ahead of Roger but …

Mathematics Questions

N a bike race: julie came in ahead of roger. julie finished after james. david beat james but finished after sarah. in what place did david finish?

Short Answer

The analysis identifies the finishing order of competitors, concluding that Sarah finished first, followed by David, James, Julie, and Roger. Ultimately, David secured the second position in the race.

Step-by-Step Solution

Step 1: Define the Participants

To analyze the competition, let’s assign letters to each participant. We represent Julie, Roger, James, David, and Sarah as follows:

  • Julie – J
  • Roger – R
  • James – Ja
  • David – D
  • Sarah – S

Step 2: Establish the Order of Finishing

We need to interpret the relationships indicated by the letters. It is given that:

  • Julie beat Roger: J
  • Julie came in after James: Ja
  • David beat James but finished after Sarah: S

By organizing these relationships, we can determine that Sarah finished first, followed by David, then James, then Julie, and finally Roger.

Step 3: Determine the Finishing Order

Based on the established relationships and their implications, we can outline the final positions:

  • 1st: Sarah (S)
  • 2nd: David (D)
  • 3rd: James (Ja)
  • 4th: Julie (J)
  • 5th: Roger (R)

Thus, the final conclusion is that David finished second.

Related Concepts

Participants

Individuals or entities involved in a competition, represented by letters to simplify analysis.

Finishing Order

Sequential arrangement of participants based on their performance in a competition, indicating who finished first, second, and so on.

Relationships

Connections or comparisons between participants that determine their positions in the finishing order based on who beat whom.