3steves 3steves

03-06-2019
Mathematics

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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.)

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MathPhys MathPhys

03-06-2019

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.

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