Question

Beth's family is on a road trip. After driving for a while, they stopped for gas, and then traveled 65 1/4 more miles before they decided to stop for lunch. After lunch, they tripled their distance traveled before stopping for the night. Their total distance traveled that day was 372 miles. How many miles had they traveled before their first stop for gas?

Enter your answer as a simplified mixed number in the box.

Answer 1

Beth and her family had traveled 102 1/4 miles before their first stop for gas.

Step-by-step explanation:

To find out how many miles Beth and her family had traveled before their first stop for gas, we need to subtract the distances covered after the gas stop and after lunch from the total distance traveled in the day.

First, we subtract the distance covered after gas from the total distance: 372 miles - 65 1/4 miles = 306 3/4 miles.

Next, we divide the remaining distance by 3 to find the distance covered before lunch: 306 3/4 miles ÷ 3 = 102 1/4 miles.

Therefore, Beth and her family had traveled 102 1/4 miles before their first stop for gas.