Speed of the woman = \\\\(5 \\ km/h\\\\)Distance between her office and home = \\\\(2.5\\\\) kmTime taken = Distance / Speed= \\\\(2.5 / 5 = 0.5\\ h = 30 \\ min\\\\)It is given that she covers the same distance in the evening by an auto.Now, speed of the auto =\\\\( 25 \\ km/h\\\\)Time taken = Distance / Speed = \\\\(2.5 / 25 = 1 / 10 = 0.1\\ h = 6\\ min\\\\)The suitable x-t graph of the motion of the woman is shown in the given figure.