tom drives 200 miles in 4 hour. he drives the first 32 miles at an average speed of 64mph. work out his average sped for the rest of the journey

Respuesta :

Answer:

His average speed for the rest of the journey was of 48mph.

Step-by-step explanation:

We use the following relation to solve this question:

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance and t is the time.

First 32 miles at an average speed of 64mph.

So the time for these 32 miles is:

[tex]64 = \frac{32}{t}[/tex]

[tex]64t = 32[/tex]

[tex]t = \frac{32}{64}[/tex]

[tex]t = 0.5[/tex]

Rest of the trip:

200 - 32 = 168 miles in 4 - 0.5 = 3.5 hours. So the average speed is of:

[tex]v = \frac{d}{t} = \frac{168}{3.5} = 48[/tex]

His average speed for the rest of the journey was of 48mph.