Speed is the rate of change of distance with time
- The time taken for the entire hike is 5 hours
Reason:
known parameter;
The length of the route = 12-mile
Speed in the first 2 hours = 3 mph
Speed in the rest of the hike = 3 mph
Required:
The time taken, or duration of the entire hike
Solution;
- Distance = Velocity × Time
Distance covered in the first 2 hours, d₁ = 2 hours × 3 mph = 6 miles
Distance left to travel at 2 mph, d₂ = D - d₁
∴ d₂ = 12 miles - 6 miles = 6 miles
Distance left to travel at 2 mph, d₂ = 6 miles
- [tex]Time = \dfrac{Distance}{Velocity}[/tex]
Time to travel the remaining 6 miles, [tex]t_2 = \dfrac{6 \ miles}{2 \ mph} = 3 \ hours[/tex]
The time taken for the entire hike, t = t₁ + t₂
Where
t₁ = The first 2 hours
t = 2 hours + 3 hours = 5 hours
The time taken for the entire hike, t = 5 hours
Learn more about distance time calculations here:
https://brainly.com/question/17140675
