A descending gradient of 1 in 30 meets an ascending gradient of 1 in 40 to form a valley curve. Find the length of the curve if the stopping sight distance is 120 m.

A +2% gradient and -3% gradient intersect at a VPI with chainage 800.000m and elevation above datum of 31.000m. Assuming the length of the vertical crest curve is 700.000m, calculate the finished level at station value (chainage) 500.000m. Note: Your answer should be provided to THREE decimal places and in units of meters.

A two-lane highway (one 3.6 m lane in each direction) goes from normal crown with 2% cross-slopes to 10% superelevation by means of a spiral transition curve. Determine the minimum length of the transition if the difference in grade between the centerline and edge of traveled way is limited to1:200.Round up to the next largest 20m interval.(b) Draw the superelevation diagram for the transition described in part a ,The station of the TS is 160+00