{"id":"aqua_rat:98f6086b99294f1585170a984c7cd624","source_id":"aqua_rat","source_item_id":"98f6086b99294f1585170a984c7cd624","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 farming field can be ploughed by 6 tractors in 4 days. When 6 tractors work together, each of them ploughs 120 hectares a day. If two of the tractors were moved to another field, then the remaining 4 tractors could plough the same field in 5 days. How many hectares a day would one tractor plough then?","stimulus":"","stimulus_html":null,"stem_html":"<p>A farming field can be ploughed by 6 tractors in 4 days. When 6 tractors work together, each of them ploughs 120 hectares a day. If two of the tractors were moved to another field, then the remaining 4 tractors could plough the same field in 5 days. How many hectares a day would one tractor plough then?</p>","rationale_html":"<p>If each of 66 tractors ploughed 120120 hectares a day and they finished the work in 44 days, then the whole field is: 120⋅6⋅4=720⋅4=2880120⋅6⋅4=720⋅4=2880 hectares. Let&#x27;s suppose that each of the four tractors ploughed xx hectares a day. Therefore in 5 days they ploughed</p><p>5⋅4⋅x=20⋅x5⋅4⋅x=20⋅x hectares, which equals the area of the whole field, 2880 hectares.</p><p>So, we get 20x=288020x=2880</p><p>x=288020=144x=288020=144. Hence, each of the four tractors would plough 144 hectares a day.</p><p>D</p>","correct_answer":["D"],"equiv_key":"57352e10a3457374d2c48c08","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>324</p>","ord":0},{"label":"B","content_html":"<p>377</p>","ord":1},{"label":"C","content_html":"<p>136</p>","ord":2},{"label":"D","content_html":"<p>144</p>","ord":3},{"label":"E","content_html":"<p>222</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":[]}