Respuesta :

From the basic equation: distance = rate * time, to determine the total time, we divide the distance by the rate.
Time = 405 miles / (75 miles/hour) = 5.4 hours
However, since we are asked to find the number of minutes, we must multiply this by 60 minutes per hour to get:
(5.4 hours) * (60 minutes/hour) = 324 minutes

The time of the motion is 324 minutes

The given parameters;

distance traveled, d = 405 miles

speed of the motion, v = 75 miles per hour

To find:

  • the time of the motion in minutes

The time of the motion is the ratio of the distance traveled to the speed of the motion.

The time of the motion is calculated as follows;

[tex]Time = \frac{distance}{time} \\\\Time = \frac{405 \ miles}{75 \ miles /hour} \\\\Time = 5.4 \ hours\\\\In \ minutes , \ the \ time = 5.4 \times 60 \min = 324 \min[/tex]

Thus, the time of the motion is 324 minutes

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