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MMLU / Rowena can paint a room in 14 hours, while Ruby can paint it in 6 hours. If…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Rowena can paint a room in 1414 hours, while Ruby can paint it in 66 hours. If Rowena paints for xx hours and Ruby paints for yy hours, they will finish half of the painting, while if Rowena paints for yy hours and Ruby paints for xx hours they will paint the whole room. Find the ordered pair (x,y)(x,y).
Plain-text mathematical notation (without MathML)
Rowena can paint a room in 14 hours, while Ruby can paint it in 6 hours. If Rowena paints for x hours and Ruby paints for y hours, they will finish half of the painting, while if Rowena paints for y hours and Ruby paints for x hours they will paint the whole room. Find the ordered pair (x,y).
Original LaTeX notation
Rowena can paint a room in $14$ hours, while Ruby can paint it in $6$ hours. If Rowena paints for $x$ hours and Ruby paints for $y$ hours, they will finish half of the painting, while if Rowena paints for $y$ hours and Ruby paints for $x$ hours they will paint the whole room. Find the ordered pair $(x,y)$.

choices

  1. (\frac{11}{10}, \frac{11}{10})
  2. (\frac{231}{20}, \frac{21}{20})
  3. (\frac{231}{40}, \frac{21}{40})
  4. (1,1)

subject

high_school_mathematics

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Source and history

task_id
3d680a9b-6574-5f94-b40d-3d21b4a4a7ef
task_key
all--test--3d680a9b-6574-5f94-b40d-3d21b4a4a7ef
task_revision_id
1
config / split
all / test

Official source

initial import