Yes, there are certain instances in the story that show an intersection of time and space. Firstly, the first two levels of Grand Central Station were located in the present time while the third level existed in the 1890s. Secondly, Charley and his wife, Louisa, live in the present time yet he rushes to get old currency to buy two tickets to go to the Galesburg of 1894. Further, the old architecture of the platform at the third level is different from the modern platforms of the first two levels. Besides, the archaic manner of dressing by the people, and the newspaper, The World, dated June 11, 1984 also overlaps with Charley’s real time world and existence. Lastly, the letter that was mailed to Charley’s grandfather on 18th July, 1894 highlights the intersection of time and space as the sender (Charley’s friend Sam) and receiver (Charley himself) belong to the present time.
Why does Charley say, “He (Sam) certainly can’t go back to his old business”? (The Third Level)
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).