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)​

Answer 1

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