algebra question

Question

20.A railroad bridge spans a gorge 40 feet wide and connects two cliffs at heights of 98 and 158

feet above the bottom of the gorge. A train is crossing this gorge from the higher cliff to the

lower. When the front of the train has traveled three-fourths of the bridge’s length, how many

feet is it above the bottom of the gorge?

Answer 1

The train has travelled 3/4 of the way from 158 to 98 feet above the bottom. The change in height is 60 feet, 3/4 of that is 45 feet, so at 3/4 of the way it is 158 - 45 = 113 feet above the bottom.