it took amir 2 hours to hike 5 miles. on the first part of the hike, amir averaged 3 miles per hour. for the…

it took amir 2 hours to hike 5 miles. on the first part of the hike, amir averaged 3 miles per hour. for the second part of the hike, the terrain was more difficult so his average speed decreased to 1.5 mile per hour. which equation can be used to find t, the amount of time amir spent hiking during the second, more difficult part of the hike? o 3(2 - t)=1.5t o 3t = 1.5(2 - t) o 3t + 1.5(2 - t)=5 o 3(2 - t)+1.5t = 5

it took amir 2 hours to hike 5 miles. on the first part of the hike, amir averaged 3 miles per hour. for the second part of the hike, the terrain was more difficult so his average speed decreased to 1.5 mile per hour. which equation can be used to find t, the amount of time amir spent hiking during the second, more difficult part of the hike? o 3(2 - t)=1.5t o 3t = 1.5(2 - t) o 3t + 1.5(2 - t)=5 o 3(2 - t)+1.5t = 5

Answer

Answer:

C. $3(2 - t)+1.5t = 5$

Explanation:

Step1: Define time for each part

Total time is 2 hours. Time for second - part is $t$, so time for first - part is $2 - t$.

Step2: Calculate distance for each part

Distance = Speed×Time. Distance for first part is $3(2 - t)$ (speed 3 mph and time $2 - t$ hours). Distance for second part is $1.5t$ (speed 1.5 mph and time $t$ hours).

Step3: Set up equation

Total distance is 5 miles. So, sum of distances of both parts equals 5. Thus, $3(2 - t)+1.5t = 5$.