Science:Math Exam Resources/Courses/MATH152/April 2017/Question B 01 (a)/Statement

Three engineering students, Xiuying, Arjan, and Marianne decide to take a summer job painting homes. Xiuying paints three times as fast as Marianne and twice as fast as Arjan and Marianne combined. All three together paint a room in four hours.

(a) [2 marks] Let $x=(x_{1},x_{2},x_{3})^{T}$ be the vector, where $x_{1}$, $x_{2}$ and $x_{3}$ are respectively the number of rooms that Xiuying, Arjan, and Marianne can paint in an hour. Describe the information above as a linear system in the form

$Ax=b$

(write $A$ and $b$ with specific values).