Section: Math 0 Likes

Alice took 60 minutes to complete a task on her first trial. The time (May 2023 U.S.)

Updated on 07/02/2024

Alice took 60 minutes to complete a task on her first trial. The time it took Alice to complete the task decreased by 10% of the previous time for each additional trial.

Approximately how many minutes will it take Alice to complete the task on her fifth trial?

A. 50
B. 42
C. 39
D. 35


Solution

Correct answer: C. 39.
To solve this problem, we need to find the pattern of the time decrease and then calculate the time for the fifth trial.

Given information:
Alice took 60 minutes to complete the task on the first trial.
The time it took Alice to complete the task decreased by 10% of the previous time for each additional trial.

Let's calculate the time for each trial:
Trial 1: 60 minutes
Trial 2: 60 - (60 × 0.10) = 54 minutes
Trial 3: 54 - (54 × 0.10) = 48.6 minutes
Trial 4: 48.6 - (48.6 × 0.10) = 43.74 minutes
Trial 5: 43.74 - (43.74 × 0.10) = 39.37 minutes

Therefore, the approximate time it will take Alice to complete the task on her fifth trial is 39 minutes.

Exam Edition: May 2023 U.S.

Exam Year: 2023

Related topics: Percentage Decrease, Approximation

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