Question

100 Points
Easy question


Topic: Multiplying and dividing fractions

Answer 1

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).

Answer 2

see below

Explanation:

The trip takes 2 hours

Stopping every half hour means stopping at 30 minutes, 1 hour, 1.5 hours

We would not stop at 2 hours because we would be done.

One the number line R means rest stops

200 Km /4 means at 50 km, 100 km 150 km and 200 km

The rest stops are at 50 km 100 km 150 km (the one at 200 is at the end of the trip so it is not a rest stop

We have to stop for gas 3/4 of the way

200 *3/4 = 150 km

We will stop for gas at a rest stop at 150 km