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,

Question

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?
(please show your work so I can understand this)​

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Remi 5 days 2021-10-14T01:33:04+00:00 1 Answer 0

Answers ( )

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    2021-10-14T01:34:27+00:00

    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 8 \frac{1}{2} ft.

    8 \frac{1}{2}=8.5

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

    Slope=\frac{Rise}{Run}

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

    Substitute the value of rise and run as shown.

    Slope=\frac{8.5}{320}

    Slope=0.0265625

    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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