Answer:
The time saved on a ten mile trip by traveling at 60 mph instead of 55 mph is 54 seconds
Explanation:
Velocity is a physical quantity that expresses the relationship between the space traveled by an object, the time used for it and its direction. So velocity is the change in position of a body over time:
[tex]velocity=\frac{position}{time}[/tex]
The mile per hour (mph) is a unit of speed measurement that expresses the number of international miles traveled per hour.
From the definition of speed it can be deduced that the time it takes to travel a certain distance at a constant velocity is:
velocity*time=position
[tex]time=\frac{position}{velocity}[/tex]
Then, if the position is 10 miles and the velocity is 55 mph:
[tex]time=\frac{10 miles}{55 mph}[/tex]
time=0.1818 hours
If 1 hour is 60 minutes, the time can be expressed as:
time=0.1818 hours*60 minutes= 10.90 minutes
The position is now constant at 10 miles, but the speed is 60 mph. So the time it takes to travel that distance at that speed is:
[tex]time=\frac{10 miles}{60 mph}[/tex]
time=0.166 hours
If 1 hour is 60 minutes, the time can be expressed as:
time=0.166 hours*60 minutes= 10 minutes
To calculate the time you will save, the subtraction of both times obtained is performed:
10.9 minutes - 10 minutes= 0.9 minutes
If 1 minute is 60 seconds, the time can be expressed as:
0.9 minutes*60 seconds= 54 seconds
The time saved on a ten mile trip by traveling at 60 mph instead of 55 mph is 54 seconds
