2015 AMC 12B Problem 2

Problem 2 of 25EasierAlgebra

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?

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Solution

The first two tasks together take

100

minutes, so each task takes

50

minutes. The third task finishes

50

minutes after

2{:}40

PM, at

3{:}30

PM. Thus, the correct answer is B.

Concepts: date and time · rate

Problem text and solution from the LIVE past-contest archive. See also the AoPS wiki page for community solutions.