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For a hill road with the ruling gradient of 6%, what will be the compensated gradient at a curve of radius 60 m?
1. 5.5%
2. 4.5%
3. 4.75%
4. 5%

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Correct Answer - Option 3 : 4.75%

Given:

Ruling gradient of hilly road = 6%

Radius of curve (R) = 60 m

Calculation:

Grade compensation = \(\frac{{30\; + \;R}}{R}\% \)

= \(\frac{{30\; + \;60}}{{60}}\% \) = 1.5%

This should not be more than

= \(\frac{{75}}{R}\% \) = \(\frac{{75}}{{60}}\% \) = 1.25%

Compensated gradient = Ruling gradient – Grade compensation

= 6% – 1.25% = 4.75%

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