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XY isn't constant,no? because the question says it comes to rest somewhere between XY so we don't exactly know if it returns to its initial position?Distance XZ is constant.
If speed is high then XZ is covered quickly so t is less.
If speed is low (after rebound inelastic) XZ is covered in more time.
You must also compare area under vt graph. XZ is constant so area must remain constant.