{"id":"aqua_rat:5977992e07af4253b34a368bdd9951f7","source_id":"aqua_rat","source_item_id":"5977992e07af4253b34a368bdd9951f7","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":"Recently, scientists were able to sequence an individual's humane genome in just 4 weeks using a super fast modern computer. A computer manufactured just 2 years earlier would have taken 24 weeks to do the same amount of work. For more targeted treatment of his cancer, Steve needs his human genome to be sequenced as soon as possible and scientists plan to use both the super fast modern computer and the 2 year-old computer to get the job done. Assuming both computers can tackle discrete components of the genome sequencing process, how many days should doctors expect to have the results of Steve's human genome sequencing project?","stimulus":"","stimulus_html":null,"stem_html":"<p>Recently, scientists were able to sequence an individual&#x27;s humane genome in just 4 weeks using a super fast modern computer. A computer manufactured just 2 years earlier would have taken 24 weeks to do the same amount of work.</p><p>For more targeted treatment of his cancer, Steve needs his human genome to be sequenced as soon as possible and scientists plan to use both the super fast modern computer and the 2 year-old computer to get the job done. Assuming both computers can tackle discrete components of the genome sequencing process, how many days should doctors expect to have the results of Steve&#x27;s human genome sequencing project?</p>","rationale_html":"<p>Given:</p><p>The old computer does work in: 24 weeks ---&gt; r = 1/24/week</p><p>The new computers does the work in: 4 weeks ---&gt; r = 1/4/week</p><p>Together both computers do: r = 1/24+ 1/4 = 7/24/week</p><p>Find: t - ?</p><p>Solution:</p><p>If both computers do: 7/24 of total work per week</p><p>7/24 = 3.42</p><p>3.42 x 7 = 23.94 or 24 days</p><p>A</p>","correct_answer":["A"],"equiv_key":"5da116274084457b757b34bc","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>24</p>","ord":0},{"label":"B","content_html":"<p>25</p>","ord":1},{"label":"C","content_html":"<p>26</p>","ord":2},{"label":"D","content_html":"<p>28</p>","ord":3},{"label":"E","content_html":"<p>30</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":[]}