2015 AMC 10B Problems/Problem 2

Problem

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?

$\textbf{(A) }\text{3:10 PM}\qquad\textbf{(B) }\text{3:30 PM}\qquad\textbf{(C) }\text{4:00 PM}\qquad\textbf{(D) }\text{4:10 PM}\qquad\textbf{(E) }\text{4:30 PM}$

Solution

Marie does her work twice in $1$ hour and $40$ minutes. Therefore, one task should take $50$ minutes to finish. So the finishing time is $3:30$ PM, $50$ minutes after $2:40$ PM.

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2015 AMC 10B Problems/Problem 2

Problem

Solution