Answer:
It would take 50 minutes
Step-by-step explanation:
Distance, velocity and time
The speed is the rate at which the distance changes with respect to time. If x is the distance, t is the time, the speed v can be obtained by
[tex]\displaystyle v=\frac{x}{t}[/tex]
We know the trip takes 40 minutes when traveling at 50 miles/hour. The distance can be determined by isolating x in the above equation
[tex]x=vt[/tex]
The given time is expressed in minutes, we need to convert it to hours. 40 minutes is [tex]\frac{40}{60}=0.6666...\ hours[/tex]. The distance is
[tex]\displaystyle x=(50)(0.666..)=33.33\ miles[/tex]
If the speed was 40 miles/hour, the same distance would be covered in t hours, taken from the above equation as
[tex]\displaystyle t=\frac{x}{v}[/tex]
[tex]t=\frac{33.33}{40}=0.8333\ hours = 0.83333*60= 50\ minutes[/tex]
