Question

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.

Answer 1

To find the average speed, we need to calculate the total distance traveled and the total time taken. Using the given information, we can solve for the distances traveled in the two parts of the hike. Amir hiked 1.5 miles at 3 miles per hour and 3.5 miles at 1.5 miles per hour.

Step-by-step explanation:

To find the average speed, we need to calculate the total distance traveled and the total time taken. For the first part of the hike, Amir traveled 3 miles per hour for a certain distance. Let's call that distance D1. The time it took to complete this part is D1/3. For the second part of the hike, Amir traveled at 1.5 miles per hour for another distance. Let's call that distance D2. The time it took to complete this part is D2/1.5.

From the given information, we know that D1 + D2 = 5 miles and (D1/3) + (D2/1.5) = 2 hours. We can use these equations to solve for D1 and D2:

D1 + D2 = 5

(D1/3) + (D2/1.5) = 2

Solving these equations, we get D1 = 1.5 miles and D2 = 3.5 miles.

Therefore, Amir hiked 1.5 miles at 3 miles per hour and 3.5 miles at 1.5 miles per hour.

Answer 2

Times

first part x = 1,33 h second part y = 0,66 h

distances d₁ (first part ) d₁ = 4 miles d₂ (second part ) d₂ = 0,999 miles

Step-by-step explanation: IMPORTANT NOTE: EVEN PROBLEM STATEMENT DID NOT ASK ANY QUESTION WE WILL ASSUME QUESTION ARE: LENGTH ( IN MILES ) AND SPENT TIME OF EACH PART OF THE HIKE

We formulate a two-equation system according to:

x = time for the first part

y = time for the second part

then x + y = 2 or y = 2 - x

And 3 m/h * x(h) + 1,5 m/h * y (h) = 5

3*x + 1,5*y = 5

3*x + 1,5 * ( 2 - x ) = 5

3*x + 3 - 1,5*x = 5

1,5*x = 2

x = 2/1,5 (h)

x = 1,33 (h)

And y = 2 - 1,33 y = 0,66 (h)

Distances are

first part d₁ = 3*1,33 d₁ = 4 miles

second part d₂ = 1,5*0,66 d₂ = 0,999 miles