{"id":"aqua_rat:adef07beed078f6e6fcf9a39cfce686d","source_id":"aqua_rat","source_item_id":"adef07beed078f6e6fcf9a39cfce686d","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 is 30% more efficient than B. How much time will they, working together, take to complete a job which A along could have done in 23 days?","stimulus":"","stimulus_html":null,"stem_html":"<p>A is 30% more efficient than B. How much time will they, working together, take to complete a job which A along could have done in 23 days?</p>","rationale_html":"<p>Ratio of times taken by A and B = 100 : 130 = 10 : 13.</p><p>Suppose B takes x days to do the work.</p><p>Then, 10 : 13 : : 23 : x ⇒ x = (23×13)/10 ⇒ x = 299⁄10</p><p>A’s 1 day’s work = 1⁄23; B’s 1 days work = 10⁄299</p><p>(A + B)’s 1 day’s work = (1⁄23 + 10⁄299) = 23⁄299 = 1⁄13</p><p>∴ A and B together can complete the job in 13 days.</p><p>Answer B</p>","correct_answer":["B"],"equiv_key":"86ed7b9e20cbcba9455ef20b","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>11 days</p>","ord":0},{"label":"B","content_html":"<p>13 days</p>","ord":1},{"label":"C","content_html":"<p>20 3⁄17 days</p>","ord":2},{"label":"D","content_html":"<p>12 days</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":[]}