Answer:
Step-by-step explanation:
Time varies inversely with speed if the distance is constant. This means that if speed increases, the time it will take to cover the same distance will reduce
t = k/s
Where t = time
k = constant of inverse proportionality
s = speed
It takes James 4 hours to get to his destination when he travels at 65 miles per hour
4 = k/65
k = 65×4 = 260
t = 260/s
If he drove 15 miles/ hour faster, the new speed is 65 + 15 = 80miles/hour.
The time it will take him is
t = 260/s
t = 260/80 = 3.25 hours
The amount of time he would save is
4 hours - 3.25 hours = 0.75 hours
Converting 0.75 hours to minutes, we multiply by 60
Amount if time saved in minutes = 0.75×60 = 45 minutes