{"id":"aqua_rat:084f7cc728c9bac191b7b09d5cfb66fd","source_id":"aqua_rat","source_item_id":"084f7cc728c9bac191b7b09d5cfb66fd","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":"The steamer going upstream would cover the distance between Town A and Town B in 5 hours. The same steamer going downstream would cover the distance between the towns in 3 hours. How long would it take a raft moving at the speed of the current to float from B to A?","stimulus":"","stimulus_html":null,"stem_html":"<p>The steamer going upstream would cover the distance between Town A and Town B in 5 hours. The same steamer going downstream would cover the distance between the towns in 3 hours. How long would it take a raft moving at the speed of the current to float from B to A?</p>","rationale_html":"<p>Let D be the distance, let V be the speed of the steamer, and let x be the speed of the current.</p><p>D / (V+x) = 3</p><p>D / (V-x) = 5</p><p>3V+3x = 5V-5x</p><p>V = 4x</p><p>D / (4x+x) = 3</p><p>D/x = 15 hours</p><p>The answer is C.</p>","correct_answer":["C"],"equiv_key":"3350a1d2ca63ed1b668369ca","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>10 hours</p>","ord":0},{"label":"B","content_html":"<p>12 hours</p>","ord":1},{"label":"C","content_html":"<p>15 hours</p>","ord":2},{"label":"D","content_html":"<p>18 hours</p>","ord":3},{"label":"E","content_html":"<p>20 hours</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":[]}