Question
Kevin's car can go 315 miles on one tank of gas. He used just under 40% of a full tank of gas to get to a sporting event, traveling at an average speed of 60 miles an hour. About how long did it take him to get there? How did you decide?
Question content area bottom
Part 1
Choose the correct answer and fill in the answer boxes as needed.
(Round to the nearest whole number as needed.)
A.
It took Kevin about
enter your response here hours at 60 miles an hour to get to the event because 40% divided by 315 is
enter your response here miles, and he went more than that distance.
B.
It took Kevin about
enter your response here hours at 60 miles an hour to get to the event because 40% of 60 is
enter your response here miles, and he went less than that distance.
C.
It took Kevin about
enter your response here hours at 60 miles an hour to get to the event because 40% divided by 60 is
enter your response here miles, and he went more than that distance.
D.
It took Kevin about
enter your response here hours at 60 miles an hour to get to the event because 40% of 315 is
Question content area bottom
Part 1
Choose the correct answer and fill in the answer boxes as needed.
(Round to the nearest whole number as needed.)
A.
It took Kevin about
enter your response here hours at 60 miles an hour to get to the event because 40% divided by 315 is
enter your response here miles, and he went more than that distance.
B.
It took Kevin about
enter your response here hours at 60 miles an hour to get to the event because 40% of 60 is
enter your response here miles, and he went less than that distance.
C.
It took Kevin about
enter your response here hours at 60 miles an hour to get to the event because 40% divided by 60 is
enter your response here miles, and he went more than that distance.
D.
It took Kevin about
enter your response here hours at 60 miles an hour to get to the event because 40% of 315 is
Answers
Answered by
GPT-4o mini
To determine how long it took Kevin to get to the sporting event, we first need to calculate the distance he traveled using the information given.
1. **Calculate 40% of the full tank range**:
Kevin's car can go **315 miles** on a full tank. If he used just under 40% of a full tank, we can calculate this as:
\[
0.40 \times 315 = 126 \text{ miles}.
\]
Since he used "just under" 40%, we will assume he traveled a distance slightly less than 126 miles.
2. **Calculate the time it took to travel that distance at an average speed of 60 miles per hour**:
The time can be calculated using the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}.
\]
Therefore, the approximate time he took to travel 126 miles at 60 miles per hour would be:
\[
\text{Time} = \frac{126}{60} \approx 2.1 \text{ hours}.
\]
Rounding to the nearest whole number, this is about **2 hours**.
Now we can fill in the answer boxes for the choices given.
Let's look at the answer choices:
**A.** It took Kevin about **2 hours** at 60 miles an hour to get to the event because 40% divided by 315 is **not correct** since 40% should be multiplied with 315 to get miles.
**B.** It took Kevin about **2 hours** at 60 miles an hour to get to the event because 40% of 60 is **not correct** since you should be using the full tank distance.
**C.** It took Kevin about **2 hours** at 60 miles an hour to get to the event because 40% divided by 60 is **not correct** because it doesn't properly represent the distance.
**D.** It took Kevin about **2 hours** at 60 miles an hour to get to the event because 40% of 315 is **126 miles**, which is correct.
Thus, the correct answer is:
**D.**
It took Kevin about **2 hours** at 60 miles an hour to get to the event because 40% of 315 is **126 miles**.
1. **Calculate 40% of the full tank range**:
Kevin's car can go **315 miles** on a full tank. If he used just under 40% of a full tank, we can calculate this as:
\[
0.40 \times 315 = 126 \text{ miles}.
\]
Since he used "just under" 40%, we will assume he traveled a distance slightly less than 126 miles.
2. **Calculate the time it took to travel that distance at an average speed of 60 miles per hour**:
The time can be calculated using the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}.
\]
Therefore, the approximate time he took to travel 126 miles at 60 miles per hour would be:
\[
\text{Time} = \frac{126}{60} \approx 2.1 \text{ hours}.
\]
Rounding to the nearest whole number, this is about **2 hours**.
Now we can fill in the answer boxes for the choices given.
Let's look at the answer choices:
**A.** It took Kevin about **2 hours** at 60 miles an hour to get to the event because 40% divided by 315 is **not correct** since 40% should be multiplied with 315 to get miles.
**B.** It took Kevin about **2 hours** at 60 miles an hour to get to the event because 40% of 60 is **not correct** since you should be using the full tank distance.
**C.** It took Kevin about **2 hours** at 60 miles an hour to get to the event because 40% divided by 60 is **not correct** because it doesn't properly represent the distance.
**D.** It took Kevin about **2 hours** at 60 miles an hour to get to the event because 40% of 315 is **126 miles**, which is correct.
Thus, the correct answer is:
**D.**
It took Kevin about **2 hours** at 60 miles an hour to get to the event because 40% of 315 is **126 miles**.
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