Question

Zendaya, a 7th grader at an undisclosed school, has decided to only complete ¼ of her 8 problem test. Zenday spent ¾ of an hour completing this test. At this pace, how long will it take Zendaya to complete a 96 question test?

a) 3 hours

b) 6 hours

c) 9 hours

d) 12 hours

Answer 1

By calculating the time taken for a single question and then multiplying by the total number of questions, it is determined that Zendaya would take 9 hours to complete ¼ of a 96-question test.

Step-by-step explanation:

To determine how long it will take Zendaya to complete a 96-question test, given that she completed ¼ of an 8-question test in ¾ of an hour, we first calculate the time taken for one question. Since ¼ of 8 is 2, and she completed these 2 questions in ¾ of an hour, it takes ¾ hr / 2 questions = 3/8 hr per question. Now, to calculate the time for a 96-question test, we multiply the time per question by the total number of questions:

3/8 hr/question × 96 questions = 36 hours. This is how long it would take to complete all 96 questions. However, since Zendaya only completes ¼ of the test:

36 hours × ¼ = 9 hours.

Therefore, the correct answer is c) 9 hours.