Final answer:
To determine the total trip distance, the 75 miles at 2/5 of the trip indicates that 1/5 of the trip is 37.5 miles. Multiplying by 5 gives the total trip distance of 187.5 miles.
Step-by-step explanation:
The question asks us to calculate the total length of the Ward Family's trip to the beach, given that they were 2/5 of the way there when they reached the 75-mile mark. To find the total distance, we can represent the 75 miles as the 2/5 portion of the entire trip. We then divide 75 by 2 to find out how many miles correspond to 1/5 of the trip and multiply by 5 to get the total trip distance:
75 miles ÷ 2 = 37.5 miles (1/5 of the trip)
37.5 miles × 5 = 187.5 miles
Therefore, the entire trip to the beach was 187.5 miles long, which corresponds to answer choice B).