benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 8292 / 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 $(x,y)$.

category

math

options

  1. (\frac{11}{20}, \frac{11}{20})
  2. (\frac{231}{20}, \frac{21}{20})
  3. (\frac{21}{40}, \frac{231}{40})
  4. (0,0)
  5. (\frac{231}{10}, \frac{21}{10})
  6. (\frac{21}{20}, \frac{231}{20})
  7. (2,2)
  8. (1,1)
  9. (\frac{11}{10}, \frac{11}{10})
  10. (\frac{231}{40}, \frac{21}{40})

src

ori_mmlu-high_school_mathematics

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
8292
task_id
ec9fd179-fd30-5362-8b4c-d94df44d0bcf
task_key
default--test--8292
task_revision_id
1
config / split
default / test

Official source

initial import