Question

a \bullet\ train set a new world record for train speed at 545 kilometers per hour during a manned test run on a test line. the test line is 40.5 kilometers long. how many minutes would a test run on the test line last at this record - setting speed? a test run would last 5.00 minutes. (round to two decimal places as needed.)

Explanation:

Step1: Convert speed to km/min

The speed of the train is 545 km/h. To convert it to km/min, divide by 60 since there are 60 minutes in an hour. So the speed $v=\frac{545}{60}\text{ km/min}$.

Step2: Calculate time

We know that distance $d = 40.5$ km and speed $v=\frac{545}{60}\text{ km/min}$. Using the formula $t=\frac{d}{v}$, we substitute the values: $t=\frac{40.5}{\frac{545}{60}}$. This is equivalent to $t = 40.5\times\frac{60}{545}$.
$t=\frac{40.5\times60}{545}=\frac{2430}{545}\approx 4.46$ minutes.

Answer:

4.46