Question

The maximum grade allowed between two stations in a​ rapid-transit rail system is​ 3.5%. Between station A and station​ B, which are 260260 ft​ apart, the tracks rise 7 and one half7
1
2 ft. What is the grade of the tracks between these two​ stations? Round the answer to the nearest tenth of a percent. Does this grade meet the​ rapid-transit rail​ standards?
The grade of the tracks between station A and station B is nothing​%.
​(Type an integer or decimal rounded to the nearest tenth as​ needed.)

Answer 1

Answer:

2.9%

Step-by-step explanation:

The problem says the stations are 260 feet apart.  Assuming that this is the horizontal distance between them, then the grade is:

7.5 / 260 × 100% = 2.9%

This is less than the maximum of 3.5%, so it meets the standards.