{"id":"aqua_rat:31dec78d366dd4a8d50f598ab3905bb3","source_id":"aqua_rat","source_item_id":"31dec78d366dd4a8d50f598ab3905bb3","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":"A can construct a wall in 40 min and B can construct the wall in 45 min. How many hours is needed to contruct a wall if both the person working together.","stimulus":"","stimulus_html":null,"stem_html":"<p>A can construct a wall in 40 min and B can construct the wall in 45 min. How many hours is needed to contruct a wall if both the person working together.</p>","rationale_html":"<p>A&#x27;s one minute work = 1/40</p><p>B&#x27;s one minute work = 1/45</p><p>(A+B)&#x27;s one minute work = 1/40 + 1/45 = 85/40*45 = 17/360</p><p>so, (A+B)will do work together in 360/17 min = 21 3/17 minutes</p><p>21 min approximately</p><p>D</p>","correct_answer":["D"],"equiv_key":"5862b94c232b808814e80fd8","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>20 min</p>","ord":0},{"label":"B","content_html":"<p>22 min</p>","ord":1},{"label":"C","content_html":"<p>23 min</p>","ord":2},{"label":"D","content_html":"<p>21 min</p>","ord":3},{"label":"E","content_html":"<p>20 min</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":[]}