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
Time to travel the remaining 6 miles, ![t_2 = \dfrac{6 \ miles}{2 \ mph} = 3 \ hours](https://tex.z-dn.net/?f=t_2%20%3D%20%5Cdfrac%7B6%20%5C%20miles%7D%7B2%20%5C%20mph%7D%20%3D%203%20%5C%20hours)
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 = <u>5 hours</u>
Learn more about distance time calculations here:
brainly.com/question/17140675