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 40.1 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

$t=\frac{d}{v}$, where $t$ is time, $d$ is distance, and $v$ is speed.

Step2: Identify the values of $d$ and $v$

$d = 40.1$ km, $v=546$ km/h.

Step3: Calculate the time in hours

$t=\frac{40.1}{546}\text{ h}$.
$t=\frac{40.1}{546}\approx0.073443$ h.

Step4: Convert hours to minutes

Since 1 h = 60 min, $t = 0.073443\times60$ min.
$t=4.40658$ min.

Step5: Round the result

Rounding to two decimal places, $t\approx4.41$ min.

Answer:

$4.41$