Answer:
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 [tex]8 \frac{1}{2}[/tex] ft.
[tex]8 \frac{1}{2}=8.5[/tex]
Here we need to find the slope of the tracks, because the slope of the track is the gradient of the track.
[tex]Slope=\frac{Rise}{Run}[/tex]
Here the rise is 8.5 ft and the run is 320 ft.
Substitute the value of rise and run as shown.
[tex]Slope=\frac{8.5}{320}[/tex]
[tex]Slope=0.0265625[/tex]
0.0265625×100=2.65625%
2.65625% is less than 3.5%
Hence, this grade meet the rapid-transit rail standards
