{"id":"aqua_rat:c62b3274959ae0055f5d80c06d828660","source_id":"aqua_rat","source_item_id":"c62b3274959ae0055f5d80c06d828660","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":"Machine A puts out a yo-yo every 6 minutes. Machine B puts out a yo-yo every 9 minutes. After how many minutes will they have produced 10 yo-yos?","stimulus":"","stimulus_html":null,"stem_html":"<p>Machine A puts out a yo-yo every 6 minutes. Machine B puts out a yo-yo every 9 minutes. After how many minutes will they have produced 10 yo-yos?</p>","rationale_html":"<p>A&#x27;s speed = 3 yo-yos every 18 minutes</p><p>B&#x27;s speed = 2 yo-yos every 18 minutes</p><p>A + B&#x27;s speed = 3 + 2 = 5 yo-yos every 18 minutes</p><p>both together will finish 10 yo-yos in 36 minutes</p><p>correct option is C</p>","correct_answer":["C"],"equiv_key":"b19b7072e09e3f777246b5fb","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>24 minutes</p>","ord":0},{"label":"B","content_html":"<p>32 minutes</p>","ord":1},{"label":"C","content_html":"<p>36 minutes</p>","ord":2},{"label":"D","content_html":"<p>64 minutes</p>","ord":3},{"label":"E","content_html":"<p>72 minutes</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":[]}