2. Mai, Clare, and Tyler are hiking from a parking lot to the summit of a mountain. They pass a sign that gives distances. Parking lot: mile Summit: 1 miles Mai says: "We are one third of the way there." Clare says: "We have to go twice as far as we have already gone." Tyler says: "The total hike is three times as long as what we have already gone." Can they all be correct? Explain how you know.​

Complete question is missing, so i have attached it.

Yes, they are all correct

Step-by-step explanation:

From the attached image, we see that the sign is showing;

Parking lot: ¾ miles

Summit: 1½ miles

Summit distance can also be expressed as an improper fraction = 3/2 miles

Now, since they started hiking from the park to the summit, it means that they had moved ¾ mile from the parking lot and had 3/2 miles left to get to the summit.

Thus, total distance from parking lot to summit = ¾ + 3/2 = 9/4 miles

Now, let's analyze each of their statements;

Mai said they are a third of their way there.

They had covered 3/4 mile and the total distance is 9/4 miles.

Thus, fraction of total distance covered is;

9/4 ÷ 3/4 = 1/3.

So, Mai is correct

Clare said they have to go twice as far as they had already gone.

They had covered 3/4 miles.

Therefore, twice this = 2 × 3/4 = 6/4 = 3/2 which is same as the sign distance left to the summit.

Thus, Clare is correct

Tyler said that the total hike is three times as long as what we have already gone.

They had gone 3/4 miles

3 times this = 3 × 3/4 = 9/4 miles.

This tallies with the total distance calculated earlier.

Thus, they are all correct