22. Kiah drives to the beach for vacation, and it
takes her 6 hours to get there. Which of the
following distances is most likely the distance
she drove?
A 50 miles
B 100 miles
C 300 miles
D 900 miles
E 1,000 miles



Answer :

To determine the most likely distance Kiah drove to get to the beach in 6 hours, we need to consider an average driving speed range and use that information to estimate the possible distance.

Let's consider typical driving speeds:
- A common driving speed might range between 50 miles per hour (mph) and 70 mph.

Next, we calculate the distance using these speeds over the 6-hour period.

1. Minimum Distance Calculation:
- If Kiah drives at 50 mph for 6 hours, the distance would be:
[tex]\[ \text{Distance}_{\text{low}} = 50 \text{ mph} \times 6 \text{ hours} = 300 \text{ miles} \][/tex]

2. Maximum Distance Calculation:
- If Kiah drives at 70 mph for 6 hours, the distance would be:
[tex]\[ \text{Distance}_{\text{high}} = 70 \text{ mph} \times 6 \text{ hours} = 420 \text{ miles} \][/tex]

Based on these calculations, the possible range of distances Kiah could have driven is between 300 miles and 420 miles.

Next, we compare this range to the provided options:
- A 50 miles
- B 100 miles
- C 300 miles
- D 900 miles
- E 1,000 miles

Only one of the given options falls within our calculated range of 300 to 420 miles, which is:

C 300 miles

Therefore, the most likely distance that Kiah drove to the beach is 300 miles.

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