To get a closer finish in a 100 m race , the runners are given different starting positions depending upon how fast they can run . A starting position of +10 means that the runner starts 10 m in front of the start line and -5 means that the runner starts 5 m behind the start line . `{:("Abbas",0,"Mike",-3,"Vicor",-20),("Peter",+10,"Tarush",+15,"Saher",+5):}`
Who starts farthest from the finish line ?

Answer

To determine who starts farthest from the finish line in a 100 m race, we need to analyze the starting positions of each runner. The starting positions are given in meters relative to the starting line, where positive values indicate a position in front of the starting line and negative values indicate a position behind the starting line.

### Step-by-Step Solution:

1. **Identify the Starting Positions:**
- Abbas: 0 m (at the starting line)
- Mike: -3 m (3 m behind the starting line)
- Vicor: -20 m (20 m behind the starting line)
- Peter: +10 m (10 m in front of the starting line)
- Tarush: +15 m (15 m in front of the starting line)
- Saher: +5 m (5 m in front of the starting line)

2. **Convert All Positions to Distances from the Finish Line:**
- The finish line is at 100 m. To find the distance of each runner from the finish line, we can use the formula:
\[ \text{Distance from finish line} = 100 - \text{Starting Position} \]
- Calculate for each runner:
- Abbas: \(100 - 0 = 100\) m
- Mike: \(100 - (-3) = 100 + 3 = 103\) m
- Vicor: \(100 - (-20) = 100 + 20 = 120\) m
- Peter: \(100 - 10 = 90\) m
- Tarush: \(100 - 15 = 85\) m
- Saher: \(100 - 5 = 95\) m

3. **List the Distances from the Finish Line:**
- Abbas: 100 m
- Mike: 103 m
- Vicor: 120 m
- Peter: 90 m
- Tarush: 85 m
- Saher: 95 m

4. **Determine the Farthest Distance:**
- Compare the distances calculated:
- The maximum distance from the finish line is 120 m (Vicor).

5. **Conclusion:**
- Therefore, the runner who starts farthest from the finish line is **Vicor**.