{"id":"aqua_rat:3e3c7d878403920cd55004c67fc53005","source_id":"aqua_rat","source_item_id":"3e3c7d878403920cd55004c67fc53005","external_id":null,"program":null,"section":"math","category_code":"PHM","category":"Preparing for Higher Math","subcategory_code":null,"subcategory":null,"form_id":null,"passage_id":null,"position":null,"scored":true,"layout_warning":null,"stem":"x men working x hours per day can do x units of a work in x days. How much work can be completed by y men working y hours per day in y days?","stimulus":"","stimulus_html":null,"stem_html":"<p>x men working x hours per day can do x units of a work in x days. How much work can be completed by y men working y hours per day in y days?</p>","rationale_html":"<p>Amount of work completed by 1 man in 1 day, working 1 hours a day = x/x3=1/x2</p><p>Amount of work y men in y days, working y hours a day = y3 × (1/x2) = y3/x2 . Answer : Option B</p>","correct_answer":["B"],"equiv_key":"4ad247cd6d19c7cd7d0a4758","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>x2/y2 units</p>","ord":0},{"label":"B","content_html":"<p>y3/x2 units</p>","ord":1},{"label":"C","content_html":"<p>x3/y2 units</p>","ord":2},{"label":"D","content_html":"<p>y2/x2 units</p>","ord":3},{"label":"E","content_html":"<p>None of these</p>","ord":4}],"passage":null,"attribution":{"source_id":"aqua_rat","source_name":"AQuA-RAT algebra word problems with rationales","rights_holder":"Google DeepMind and the AQuA-RAT contributors","canonical_url":"https://github.com/google-deepmind/AQuA","retrieved_from":"https://raw.githubusercontent.com/google-deepmind/AQuA/master/","attribution":"Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.","disclaimer":"AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.","license":"Apache License 2.0. Crowdsourced by DeepMind and published for free use, including commercially.","redistributable":true,"item_count":508},"equivalents":[]}