Question

Randall's family drove to the beach for vacation. They drove the same speed throughout the trip. The first day, they drove 130 miles in 2 hours. The second day, they drove 325 miles in 5 hours. The third day, they arrived at the beach after driving for 6 hours. How many miles did they drive on the third day?

Answer 1

390

Explanation:

Answer 2

390 miles

Explanation:

They drove the same speed throughout the trip means a constant speed.

A constant speed means that it does not change over a period of time and direction of motion. A simple formula, for this case (constant speed)

`v= (x - xo)/(t -to)`

where x is distance and t time. The subtract is final value minus initial value

In the first day

`v= (130 miles)/(2 hours)  = 65 mph`

if is the same speed then for the second day it must be equal, in fact

`v= (325 miles)/(5 hours)  = 65 mph`

Now, we have the speed and time, then

x=v * t = 65 miles/h (mph) * 6 h = 390 miles