{"id":"cb_question_bank:4ce05481-dea6-44c2-9f2c-47357f8fca04","source_id":"cb_question_bank","source_item_id":"4ce05481-dea6-44c2-9f2c-47357f8fca04","external_id":null,"ibn":"029899-DC","question_id":"9c7741c6","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.C.","skill":"Linear equations in two variables","difficulty":"M","score_band":4,"answer_type":"spr","answer_source":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"On a 210-mile trip, Cameron drove at an average speed of 60 miles per hour for the first x hours. He then completed the trip, driving at an average speed of 50 miles per hour for the remaining y hours. If x equals 1 , what is the value of y ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">On a 210-mile trip, Cameron drove at an average speed of 60 miles per hour for the first <span class=\"italic\">x</span> hours. He then completed the trip, driving at an average speed of 50 miles per hour for the remaining <span class=\"italic\">y</span> hours. If <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/6e4319fe2c5755fc5aa3f69e1a43b989d061cbb17c450f24b51a6616f131de4b\" alt=\"x equals 1\"></span></span>, what is the value of <span class=\"italic\">y</span> ?</p>\n","rationale_html":"<p>The correct answer is 3. It’s given that Cameron drove 60 miles per hour for <span class=\"italic\">x</span> hours; therefore, the distance driven at this speed can be represented by <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/6ab334364745b1638de4bbc363da2ccfd0e2ecea9ea2cb142a6457aec4e3c000\" alt=\"60 x\"></span>. He then drove 50 miles per hour for <span class=\"italic\">y</span> hours; therefore, the distance driven at this speed can be represented by <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/154323139f8070e6722cbc5062057c5fdfd8301f6745f5746ff7f8973367cfb0\" alt=\"50 y\"></span>. Since Cameron drove 210 total miles, the equation <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/1f2f6e39c9d4bd49d6b3fe4f34fc4c9a43e359a3b640e264bcfeb6fc9422b246\" alt=\"60 x plus 50 y, equals 210 \"></span> represents this situation. If <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/6e4319fe2c5755fc5aa3f69e1a43b989d061cbb17c450f24b51a6616f131de4b\" alt=\"x equals 1\"></span>, substitution yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c25f2e67585823c3c7736ba486e46ec28a1111835baf5da9f416ed1160b333ef\" alt=\"60 times 1, plus 50 y, equals 210\"></span>, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/131d26d03f6ca1eaed3262daa2a04fdd6b461006482c33948ce7eaa27b46705c\" alt=\"60 plus 50 y, equals 210\"></span>. Subtracting 60 from both sides of this equation yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d3c509ca64bbf9b076e0a5ea1ca45cfc44802ce88fde7f6bcc3c9ce33946609f\" alt=\"50 y equals 150\"></span>. Dividing both sides of this equation by 50 yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/5e5a6f2f0c5bc13a79fa4468206ea2f3c2d1d65d466771f0472a33dd8036a6e9\" alt=\"y equals 3.\"></span>.</p>\n","correct_answer":["3"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.626000+00:00","source_updated_at":"2023-08-02T20:25:59.626000+00:00","options":[],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}