{"id":"aqua_rat:17342d7be4f56bbf19288af96b1ddafd","source_id":"aqua_rat","source_item_id":"17342d7be4f56bbf19288af96b1ddafd","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":"Consider a courier company A which can deliver 100 parcels in 5 days with 5 men working for 8 hours a day. Consider another courier company B where every employee is equally efficient as that of company B. Company B is short of one man when compared to A and has a policy of asking its workers to work only for 6 hours a day. How long (in days) company B will take to deliver 100 parcels.","stimulus":"","stimulus_html":null,"stem_html":"<p>Consider a courier company A which can deliver 100 parcels in 5 days with 5 men working for 8 hours a day. Consider another courier company B where every employee is equally efficient as that of company B. Company B is short of one man when compared to A and has a policy of asking its workers to work only for 6 hours a day. How long (in days) company B will take to deliver 100 parcels.</p>","rationale_html":"<p>Total amount of work done by Members of A in delivering 100 parcels (in terms of man hours) = 5 × 5 × 8 = 200 hours</p><p>Company B has 4 employees and each of them work 6 hours a day, Hence, work done per each day = 24</p><p>Therefore no.of days required to deliver 100 parcels = Number of days required to do 200 units of work = 200/24 = 8.33. Hence answer is a.</p><p>B</p>","correct_answer":["B"],"equiv_key":"8374a5c4cc31b8f07441dc1b","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>8.32</p>","ord":0},{"label":"B","content_html":"<p>8.33</p>","ord":1},{"label":"C","content_html":"<p>8.31</p>","ord":2},{"label":"D","content_html":"<p>8.18</p>","ord":3},{"label":"E","content_html":"<p>8.319</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":[]}