Answers and Step-by-step explanations:
(a)
We want to find where to stop, so let's calculate the distances between the different rest points.
This is a distance-rate-time problem, so we need to use the equation d = rt, where d is the distance, r is the rate, and t is the time. Here, d = 200 km and t = 2 hours. So:
200 = r * 2
r = 100
Your speed is 100 km/hr. Now, you plan on stopping every half hour. We know that you drive 100 km in 1 hour, so that means you drive 100/2 = 50 km in half an hour. So, we want to draw a number line where every 50 km, there's a rest stop (red on attachment).
See attachment.
(b) We need to get gas at Fort MacLeod, which is 3/4 of the way to Lethbridge. The total distance is 200 km, so 3/4 of that will be:
(3/4) * 200 = 600 / 4 = 150 km
So, mark the place that is 150 km (blue on attachment).
See attachment.
Note that the green simply represents your entire trip from Calgary (start) to Lethbridge (end).
