A person travels by car from one city to another.

She drives for 21.8 min at 67.1 km/h,
13.1 min at 84.6 km/h, 51.4 min at 33.5 km/h,
and spends 11.5 min along the way eating
lunch and buying gas.
Determine the distance between the cities
along this route.

Distance = rate x time

21.8 min /60 min/hour = ___ hours

13.1 min/60 Min/hr = ___ hours

After converting all times to hours,

multiply those times b the speed given in km/hr

Of course lunch and buying gas gets multiplied by zero because you are stopped.
Sum all of your other answers.

To determine the distance between the cities along this route, we can calculate the distance traveled at each speed and then sum them up.

First, let's calculate the distance traveled during each leg of the journey:

1. The first leg: The person drives for 21.8 min at 67.1 km/h.
To find the distance, we can use the formula: distance = speed × time.
So, the distance traveled in this leg is: distance_1 = 67.1 km/h × (21.8 min / 60 min) = 24.6806 km.

2. The second leg: The person drives for 13.1 min at 84.6 km/h.
Using the same formula, the distance traveled in this leg is: distance_2 = 84.6 km/h × (13.1 min / 60 min) = 18.2533 km.

3. The third leg: The person drives for 51.4 min at 33.5 km/h.
Applying the formula, the distance traveled in this leg is: distance_3 = 33.5 km/h × (51.4 min / 60 min) = 28.4933 km.

Finally, we need to subtract the time spent eating lunch and buying gas from the total time to account for the non-driving time.

Time spent eating lunch and buying gas = 11.5 min.

Now, let's calculate the total distance by summing up the distances traveled in each leg:

Total distance = distance_1 + distance_2 + distance_3 = 24.6806 km + 18.2533 km + 28.4933 km = 71.4272 km.

Therefore, the distance between the cities along this route is approximately 71.43 km.