Austin drove 845 miles in 13 hours. At the same rate, how long would it take him to drive 455 miles?

Answer 1

The average velocity for the first trip can be described by the following equation:

v_avg = d / t

where:

v_avg = average velocity

d = distance traveled

t = time spent travelling

With the given information:

v_avg = 845mi / 13hr

v_avg = 65 mph (miles per hour)

Now that we know the average velocity when Austin is driving, we can proceed to calculate how much time it takes for him to drive 455miles.

We rearrange the above equation so that 't' is isolated:

t = d / v_avg

Plugging in the distance he will drive (455mi) and the average velocity at which he drives (65mph from previous information), we can calculate the time he will spend driving:

t = 455mi / 65 mph

t = 7hrs

Answer 2

You can set up a proportion for this one

Let x = time to drive 455 miles

845 miles/13 hours = 455 miles/x

Solve by cross multiplying:

(13)(455) = 845x Dived both sides by 845

(13)(455)/(845) = x

x = 7 hours