The maximum grade allowed between two stations in a rapid transit rail system 3.5%. between station a and station b, which are 320 ft apart, the tracks rise 8 1/2 ft. what is the grade of the tracks between these two stations? round to the nearest tenth of a percent. does this grade meet the rapid-transit rail standards?
( show your work so i can understand this)

The grade of the tracks between these two stations is 2.65625%

Yes, this grade meet the rapid-transit rail standards

Step-by-step explanation:

Consider the provided information.

the maximum grade allowed between two stations in a rapid transit rail system 3.5%.

Between station A and station B, which are 320 ft apart, the tracks rise ft.

Here we need to find the slope of the tracks, because the slope of the track is the gradient of the track.

Here the rise is 8.5 ft and the run is 320 ft.

Substitute the value of rise and run as shown.

0.0265625×100=2.65625%

2.65625% is less than 3.5%

Hence, this grade meet the rapid-transit rail standards

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step-by-step explanation: