{"id":"aqua_rat:6001680d902dea6337c2a2b4d2b6074e","source_id":"aqua_rat","source_item_id":"6001680d902dea6337c2a2b4d2b6074e","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 train running between two stations A and B arrives at its destination 10 minutes late when its speed is 50 km/h and 50 minutes late when its speed is 30 km/h. What is the distance between the stations A and B ?","stimulus":"","stimulus_html":null,"stem_html":"<p>A train running between two stations A and B arrives at its destination 10 minutes late when its speed is 50 km/h and 50 minutes late when its speed is 30 km/h. What is the distance between the stations A and B ?</p>","rationale_html":"<p>Let the distance between the two stations be x km.</p><p>Then, x⁄50 - 10⁄60 = x⁄30 - 50⁄60</p><p>⇒ x⁄50 - 1⁄6 = x⁄30 - 5⁄6</p><p>or x⁄30 - x⁄50 = 2⁄3 or x = 50 km</p><p>Answer B</p>","correct_answer":["B"],"equiv_key":"a7ccea24a701ee745a3c8f90","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>40 km</p>","ord":0},{"label":"B","content_html":"<p>50 km</p>","ord":1},{"label":"C","content_html":"<p>60 km</p>","ord":2},{"label":"D","content_html":"<p>70 km</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":[]}