Reality aspects:
– The setting begins in the real world — the Grand Central Station in New York.
– References to modern life problems, such as worry, insecurity, and the rush of daily living, reflect actual 20th-century circumstances.
– Characters like Charley, his wife Louisa, and the mention of psychiatrists give a realistic framework.
Fantasy elements:
– The “third level” itself is imaginary; Grand Central is known to have only two levels.
– Charley’s description of the third level depicts 1894 New York — gaslights, old-style locomotives, and outdated currency — as if he had travelled back in time.
– The letter from Sam, written in 1894 and found among old papers, adds to the mystery and blurs the line between fact and imagination.
Interweaving of the two:
– The story keeps shifting between what can be explained logically (hallucination, wishful thinking) and what feels like a genuine time-travel episode.
– Readers are left uncertain whether Charley’s experience was a mental escape from reality or a real doorway into the past.
Conclusion: By blending authentic details of New York with the fictional idea of a hidden level leading to another era, the author creates a narrative where fantasy is rooted in reality, leaving it to the reader to decide what to believe.
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 \(P,O,Q\).