Question

How much time will you save on a ten mile trip if u travel at 60mph rather than at 55mph?

Answer 1

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:

$velocity=\frac{position}{time}$

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

$time=\frac{position}{velocity}$

Then, if the position is 10 miles and the velocity is 55 mph:

$time=\frac{10 miles}{55 mph}$

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:

$time=\frac{10 miles}{60 mph}$

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

Answer 2

Time = Distance/Rate

for 60 mph

Time = 10 miles/60 mph

= 0.1666 * 60 minutes = 10 minutes

for 55 mph

Time = 10 miles/55 mph

= 0.181818 * 60 minutes = 10.90 minutes