2015 AMC 12B Problem 2

Below is the professionally curated solution for Problem 2 of the 2015 AMC 12B, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2015 AMC 12B solutions, or check the answer key.

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Concepts:date and timerate

Difficulty rating: 910

2.

Marie does three equally time-consuming tasks in a row without taking breaks. She begins the first task at 1:00 PM and finishes the second task at 2:40 PM. When does she finish the third task?

3:10 PM

3:30 PM

4:00 PM

4:10 PM

4:30 PM

Solution:

The first two tasks together take 100100 minutes, so each task takes 5050 minutes.

The third task finishes 5050 minutes after 2:40 PM, at 3:30 PM.

Thus, the correct answer is B.

Problem 2 in Other Years