Question

A person travels by car from one city to an-

other. She drives for 21.1 min at 86.8 km/h
10.6 min at 106 km/h, 36.5 min at 30.9 km/h,
and spends 17.4 min along the way eating
lunch and buying gas.
Determine the distance between the cities
along this route.
Answer in units of km.

Answer 1

68.31 km.

Step-by-step explanation:

First, let's refer to the distance formula:

`d=v*t`, where d is distance, v is velocity or speed and t is time.

Now, let's find the distance covered by each individual speed that the car had:

1. Speed 1.

In order to use the formula, we need to convert minutes into hours since the speed is given in km/h.

21.1 min/60= 0.35 h.

Now, apply the distance formula.

d=(0.35h)*(86.8km/h)= 30.38 km.

2. Speed 2.

Convert minutes to hours again and do the same calculations.

10.6min/60=0.18h

d=(0.18h)*(106km/h)= 19.08 km.

3. Speed 3.

36.5min/60= 0.61h

d=(0.61h)*(30.9km/h)= 18.85 km.

4. Obtain the total distance.

The total distance must be given by the addition of all individual distances traveled by the car on each speed:

Total distance= 30.38 km + 19.08 km + 18.85 km= 68.31 km.