Question

a \bullet\ train set a new world record for train speed at 546 kilometers per hour during a manned test run on a test line. the test line is 41.1 kilometers long. how many minutes would a test run on the test line last at this record - setting speed? a test run would last (round to two decimal places as needed.)

Explanation:

Step1: Recall the time - distance - speed formula

We know that speed $s=\frac{d}{t}$, where $s$ is speed, $d$ is distance and $t$ is time. We want to find $t$, so we can re - arrange the formula to $t = \frac{d}{s}$.

Step2: Convert the units if necessary

The speed is given in kilometers per hour ($km/h$) and the distance in kilometers ($km$). The formula $t=\frac{d}{s}$ will give us the time in hours. The speed $s = 546$ km/h and the distance $d=41.1$ km.

Step3: Calculate the time in hours

Substitute $d = 41.1$ km and $s = 546$ km/h into the formula $t=\frac{d}{s}$. So $t=\frac{41.1}{546}\text{h}$.
$t=\frac{41.1}{546}\approx0.0753$ h.

Step4: Convert hours to minutes

Since 1 hour = 60 minutes, we multiply the time in hours by 60 to get the time in minutes. So $t_{min}=0.0753\times60 = 4.52$ minutes.

Answer:

$4.52$