Question

a \bullet\ train set a new world record for train speed at 543 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 time - distance - speed formula

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

Step2: Convert units if necessary

The speed $v = 543$ km/h and the distance $d=40.1$ km. We want the time in minutes. First, find the time in hours: $t=\frac{d}{v}=\frac{40.1}{543}$ hours.

Step3: Convert hours to minutes

Since 1 hour = 60 minutes, then $t_{min}=t\times60=\frac{40.1}{543}\times60$.
$t_{min}=\frac{40.1\times60}{543}=\frac{2406}{543}\approx4.43$ minutes

Answer:

4.43