{"id":"aqua_rat:43bcca78f13ea704960d02154141c85d","source_id":"aqua_rat","source_item_id":"43bcca78f13ea704960d02154141c85d","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":"An engine of length 1000 m moving at 10 m/s. A bird is flying from the start of the engine to the end at x kmph and coming back at 2x. Take total time of bird traveling as 187.5 seconds. Find x and 2x","stimulus":"","stimulus_html":null,"stem_html":"<p>An engine of length 1000 m moving at 10 m/s. A bird is flying from the start of the engine to the end at x kmph and coming back at 2x. Take total time of bird traveling as 187.5 seconds. Find x and 2x</p>","rationale_html":"<p>Suppose the bird&#x27;s speed is s and 2s.</p><p>While flying at the same direction of the engine&#x27;s movement, relative speed = (s+10) m/sec</p><p>on the reverse direction, relative speed = (2s-10) m/sec</p><p>so</p><p>1000/(s+10) + 1000/(2s-10) = 187.5 secs</p><p>Solving it, we get s= 8.728 m/sec and 2s= 17.456 m/sec</p><p>A</p>","correct_answer":["A"],"equiv_key":"f1d162855b7fbc480e025350","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>17.456 m/sec</p>","ord":0},{"label":"B","content_html":"<p>18.456 m/sec</p>","ord":1},{"label":"C","content_html":"<p>19.456 m/sec</p>","ord":2},{"label":"D","content_html":"<p>27.456 m/sec</p>","ord":3},{"label":"E","content_html":"<p>21.456 m/sec</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":[]}