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The position-time (x-t) graphs for two children A and B returning from school O to their homes P and Q respectively along a straight path are given. Both graphs start at x = 0 (school) and end at their respective homes. Choose the correct statement(s):

1. A lives closer to school than B
2. A starts from school earlier than B
3. A and B have equal average velocities from 0 to t0
4. B overtakes A on the way home

Correct answer: B overtakes A on the way home

Solution

In the standard version of this graph, A and B both start from the same point but B starts later yet has a steeper slope (higher speed), so B's graph eventually crosses A's, indicating B overtakes A. Since both reach the same distance (identical home distance) but B starts later and still catches up, option D is correct.

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