Distance-time graph in respect of a race among four persons is shown in the given figure. Consider the following statements in this regard: I. ‘A’ stood first in the race. II. ‘C led all the way. III. ‘D’ ran faster than others in the later part of the race. Of these statements

- A distance-time graph shows distance covered on the y-axis and time on the x-axis. The slope of the line represents speed (Distance/Time). A steeper slope indicates higher speed. - Statement I: 'A' stood first in the race. Person 'A' reaches the maximum distance (the finish line) in the shortest amount of time compared to B, C, and D. Therefore, 'A' finished first. This statement is true. - Statement II: 'C led all the way. Person 'C' starts with a relatively steep slope, indicating good speed. However, their speed decreases or they stop for a period (horizontal segment). Person 'A' maintains a constant speed (straight line) and reaches the finish line before C. Therefore, 'C' did not lead all the way. This statement is false. - Statement III: 'D' ran faster than others in the later part of the race. Observe the slopes of the lines towards the end of the race (right side of the graph). The slope of 'D's line is steeper than the slopes of 'B's and 'C's lines in the later stages. This indicates that 'D' had a higher speed than B and C towards the end. This statement is true.