A sag curve and crest curve connect a –3.5% tangent section of highway (to the west)...

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A sag curve and crest curve connect a –3.5% tangent section of highway (to the west) with a +2.5% tangent section of highway (to the east). The +2.5% tangent section is at a higher elevation than the –3.5% tangent section. The two tangent sections are separated by 1150 ft of horizontal distance. If the design speed of the curves is 50 mi/h, what is the common grade between the sag and crest curves (G₂ of sag and G₁ of crest, from west to east), and what is the elevation difference between the PVC_s and PVT_c?

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