GATE 2026 CE (CE2) – Question 34
A downgrade of 1 in 100 meets an upgrade of 1 in 125 on a road. If the rate of change of grade is 0.10 % per 30 m, the length (in m) of the vertical curve between the two grades is ______ (*rounded off to the nearest integer*).
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Correct answer: 540
Explanation
The grades are $-\frac{1}{100} = -1\%$ and $+\frac{1}{125} = +0.8\%$, so the total change of grade is $N = 1.8\%$. At a rate of change of grade of 0.10 % per 30 m, the length is $L = \frac{1.8}{0.10} \times 30 = 540$ m.