{"id":"aqua_rat:c3aa540ca51d93a2a8d2d308a1ce431d","source_id":"aqua_rat","source_item_id":"c3aa540ca51d93a2a8d2d308a1ce431d","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":"I have an amazing bath tub having both hot and cold water taps. The cold water tap can fill my tub in 6 hours while cold water tap can fill the tub in approximately 4 hours. I turned them on simultaneously but forgot to close the lid which removes the water out of tub. The lid can empty the tub in exact 13 hours. Since both taps are open along with the lib, can you estimate the time needed to fill the bath tub?","stimulus":"","stimulus_html":null,"stem_html":"<p>I have an amazing bath tub having both hot and cold water taps.</p><p>The cold water tap can fill my tub in 6 hours while cold water tap can fill the tub in approximately 4 hours.</p><p>I turned them on simultaneously but forgot to close the lid which removes the water out of tub.</p><p>The lid can empty the tub in exact 13 hours.</p><p>Since both taps are open along with the lib, can you estimate the time needed to fill the bath tub?</p>","rationale_html":"<p>(1/4 + 1/6 - 1/12) ^ (-1)</p><p>= (1/3)^(-1) = 3</p>","correct_answer":["E"],"equiv_key":"b9145346919c65b0ecb60ddd","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>1.8 hours</p>","ord":0},{"label":"B","content_html":"<p>6 hours</p>","ord":1},{"label":"C","content_html":"<p>2.5 hours</p>","ord":2},{"label":"D","content_html":"<p>4 hours</p>","ord":3},{"label":"E","content_html":"<p>3 hours</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":[]}