PSAT Math Multiple-Choice Question 380: Answer and Explanation

Question: 380

A professional speedway for Motorsport events wishes to build two new racetracks with the same proportions but different sizes, one for adult races and one for teen races. The racetracks will each have two straightaways, one shorter and one longer

If the adult track has straightaways that are 100 -meters long and 150 meters long, then what is the length of the longer teen track straightaway if the shorter teen track straightaway is 50 -meters long?

• A. 25
• B. 50
• C. 75
• D. 100

Correct Answer: C

Explanation:

C

Difficulty: Easy

Category: Ratios and Proportions

Getting to the Answer: Set up a proportion and cross-multiply to solve for the unknown:

Thus, (C) is correct.