{"id":"aqua_rat:7084314e542d372efe7338548ddda785","source_id":"aqua_rat","source_item_id":"7084314e542d372efe7338548ddda785","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 M leaves City A at 5 am and reaches City B at 9am. Another train N leaves City B at 7am and reaches City A at 1030am. At what time do the 2 trains cross one another?","stimulus":"","stimulus_html":null,"stem_html":"<p>A train M leaves City A at 5 am and reaches City B at 9am. Another train N leaves City B at 7am and reaches City A at 1030am. At what time do the 2 trains cross one another?</p>","rationale_html":"<p>Let the distance between the cities be x</p><p>They meet after y hrs after 7am</p><p>M covers x in 4hrs</p><p>N covers x in 3 1/2 i.e 7/2 hrs</p><p>speed of M =x/4</p><p>speed of N = 2x/7</p><p>Distance covered by M in y+2 hrs + Distance covered by N in</p><p>y hrs is x</p><p>x/4 (y+2) +2x/7(y)=x</p><p>y=14/15hr or 56 min</p><p>D.</p>","correct_answer":["D"],"equiv_key":"e093457d653f6206eea7733c","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>1 hr 23 min</p>","ord":0},{"label":"B","content_html":"<p>1 hr 15 min</p>","ord":1},{"label":"C","content_html":"<p>1 hr 8 min</p>","ord":2},{"label":"D","content_html":"<p>56 min</p>","ord":3},{"label":"E","content_html":"<p>55 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":[]}