Answer:
The average speed for the entire trip is 56 miles/hour.
Explanation:
It is given that,
Initially, the car moves with a speed of, v₁ = 40 miles/hour
Initial time, t₁ = 0.5 hours
Distance covered during time t₁,
[tex]d_1=v_1t_1[/tex]
[tex]d_1=40\times 0.5[/tex]
[tex]d_1=20\ miles[/tex]
Then it travels with a speed of, v₂ = 60 miles/hour
Then time taken, t₂ = 2 hours
Distance covered during time t₂,
[tex]d_2=v_2t_2[/tex]
[tex]d_2=60\times 2[/tex]
[tex]d_2=120\ miles[/tex]
The average speed of the car can be calculated as :
[tex]v=\dfrac{d_1+d_2}{t_1+t_2}[/tex]
[tex]v=\dfrac{120+20}{0.5+2}[/tex]
v = 56 miles/hour
So, the average speed of the car for the entire trip is 56 miles/hour. Hence, this is the required solution.
