Question

Seven runners, Allen, Beth, Calli, Drew, Erin, Fred, and Gary, are being timed running a mile. Only one runner can run at a time. The following conditions apply:________.
Calli cannot run first or last
At least one person must run between Fred and Gary
Erin can only run directly before or after Drew if Allen runs first
Beth must run before Gary
If Allen runs first, Fred fifth, and Erin seventh, which of the following must be true?
A. Drew runs third
B. Calli runs third
C. Gary runs second
D. Drew runs fourth
E. Beth runs second

Answer 1

Answer:

E. Beth Runs Second

Step-by-step explanation:

I will attempt to simplify this by ordering the list after each instruction.

Allen Runs First, Fred Fifth and Erin Seventh

1. Allen

2.

3.

4.

5. Fred

6.

7. Erin

Since Erin can only run directly before or after Drew if Allen runs first.

1. Allen

2.

3.

4.

5. Fred

6. Drew

7. Erin

If At least one person must run between Fred and Gary, Gary can either be in Position 2 or 3. Since Beth must run before Gary,

1. Allen

2. Beth

3. Gary

4. Calli

5. Fred

6. Drew

7. Erin