PSAT Math Multiple-Choice Question 155: Answer and Explanation

Question: 155

A car company produces a particular model of car one at a time in its factories. If it takes one of the company's factories a total of 1,080 minutes to produce a single car, how many cars of that particular model can be produced by that particular factory in 540 hours?

• A. 20
• B. 25
• C. 30
• D. 35

Correct Answer: C

Explanation:

C

The question asks how many cars the factory can produce in 540 hours. The rate is given in minutes, so convert the 540 hours into minutes, using the proportion . Cross-multiply to get x = 32,400. Since the factory can produce 1 car in 1,080 minutes, set up the proportion . Cross-multiply to get 1,080y = 32,400. Divide both sides by 1,080 to get y = 30. The correct answer is (C).