After 1 hour, a vehicle traveled 44 miles, after 4 hours, it traveled 152 miles.

Question

If they maintain the same average rate of change, which is 36 miles an hour, how many hours will it take to go 487 miles? How would I find this?

Answer 1

The vehicle traveled 196 mi (152 + 44) in 5 hours (1 + 4).

That is 196 miles

r = d / t

r = 196 / 5

r = 39.2, not 36!

t = d / r

t = 487 / 39.2

t = 12.42346939

Answer 2

First of all it travels 196 miles in 5 hours. That is 39.2 mph

t = d / r

t = 487 / 39.2

Answer 3

You would take the amount of miles 487, and divide by the average rate of change 36. When doing these kinds of problems, you want to make sure that the units cancel properly with regards to the desired units in your answer. Since we are looking for a unit of time (hrs)....

(487 miles)/(36 miles/hr) = The miles units will cancel, and from this point, it is basic division. Your answer will be roughly 13.53 hours, and I say roughly because once you divide, you are left with a repeating fraction.

Answer 4

This question is not clear.

In the 1st hr the average speed is 44 mph.

Then did the car go from 44 mi to 152 mi in the next 4 hours or is 152 mi the location at 4 hours?

Over what period of time is the average speed 36 mph?

If, in fact, the average speed over the 487 mile distance is 36 mph, then the time is 487/36.

Answer 5

d = r * t

487 = 36t

Can you solve for t and answer?