Digital PSAT Math Practice Question 194: Answer and Explanation

Question: 194

When Andrew does his homework, he always takes 10 minutes to set up his desk and get totally ready to begin. Once he starts working, he is able to complete one homework problem every 5 minutes. Assuming that Andrew studies for over 10 minutes time, which of the following represents the total number of homework problems, p, Andrew is able to complete in m minutes?

• A. p = 5m + 10
• B. p = 5m - 1
• C.
• D.

Correct Answer: C

Explanation:

(C) Whenever Andrew begins his study time, he always takes the 10 minutes of time to get set up. Then, he completes 1 problem every 5 minutes of actual study. So, the number of minutes he takes to do p problems is 10 + 5p. If we set up the equation for this, it is m = 10 + 5p. Then, if we solve for p, we will get the correct answer: