from fractions import Fraction found = None for seconds in range(900, 3601): moving_a = min(seconds, 1500) + max(seconds - 2100, 0) a_position = Fraction(moving_a * 12, 3600) b_position = Fraction((seconds - 900) * 18, 3600) if a_position == b_position: found = (seconds, a_position) break assert found is not None t, position = found result = {"seconds_after_A": t, "seconds_after_B": t - 900, "distance_km": str(position)} import json print(json.dumps(result, ensure_ascii=False, sort_keys=True))