Question

Connie flew from Phoenix to flagstaff, a distance of 180 miles at a constant speed of 180 miles per hour. She then returned to the same airport at a cj stand speed of 90. Miles per hour. What was connies average speed in miles/ hour

Answer 1

Average Velocity = 120 mi/h

Step-by-step explanation:

First we need to calculate the time taken by Connie to complete first half from Phoenix to flagstaff. So, we use:

s₁ = v₁t₁

where,

s₁ = distance from Phoenix to flagstaff = 180 miles

v₁ = speed of travel from Phoenix to flagstaff = 180 mi/h

t₁ = time taken to travel from Phoenix to flagstaff = ?

Therefore,

180 miles = (180 m/h)t₁

t₁ = 1 h

Now, we calculate the time for the return trip

s₂ = v₂t₂

where,

s₂ = distance from flagstaff to Phoenix = 180 miles

v₂ = speed of travel from flagstaff to Phoenix = 90 mi/h

t₂ = time taken to travel from flagstaff to Phoenix = ?

Therefore,

180 miles = (90 m/h)t₂

t₂ = 2 h

Now, we find total time:

t = t₁ + t₂

t = 1 h + 2 h

t = 3 h

and the total distance was:

s = s₁ +s₂

s = 180 mi + 180 mi

s = 360 mi

So, the average velocity will be:

Average Velocity = s/t

Average Velocity = 360 mi/3 h

Average Velocity = 120 mi/h