Question
A car travels at a speed of 55 12 miles per hour for 2 34 hours. The total distance traveled is ____ miles
Answers
GPT-4o mini
To find the total distance traveled by the car, you can multiply the speed by the time.
1. First, convert the mixed numbers into improper fractions or decimals:
- Speed: \( 55 \frac{12}{100} \) miles per hour, or \( 55.12 \) miles per hour.
- Time: \( 2 \frac{34}{60} \) hours
- Convert \( 34 \) minutes into hours: \( \frac{34}{60} = 0.5667 \) hours (approximately), so the time is \( 2 + 0.5667 = 2.5667 \) hours.
2. Now, multiply the speed by the time:
\[
\text{Distance} = \text{Speed} \times \text{Time} \\
\text{Distance} = 55.12 \, \text{miles/hour} \times 2.5667 \, \text{hours} \\
\]
\[
\text{Distance} \approx 141.316 \, \text{miles}
\]
So the total distance traveled is approximately **141.3 miles**.
1. First, convert the mixed numbers into improper fractions or decimals:
- Speed: \( 55 \frac{12}{100} \) miles per hour, or \( 55.12 \) miles per hour.
- Time: \( 2 \frac{34}{60} \) hours
- Convert \( 34 \) minutes into hours: \( \frac{34}{60} = 0.5667 \) hours (approximately), so the time is \( 2 + 0.5667 = 2.5667 \) hours.
2. Now, multiply the speed by the time:
\[
\text{Distance} = \text{Speed} \times \text{Time} \\
\text{Distance} = 55.12 \, \text{miles/hour} \times 2.5667 \, \text{hours} \\
\]
\[
\text{Distance} \approx 141.316 \, \text{miles}
\]
So the total distance traveled is approximately **141.3 miles**.