{"id":"act_practice_pdf:pt1:math:010","source_id":"act_practice_pdf","source_item_id":"pt1-math-010","external_id":null,"program":"ACT","section":"math","category_code":"IES","category":"Integrating Essential Skills","subcategory_code":null,"subcategory":null,"form_id":"act_practice_pdf:pt1","passage_id":null,"position":10,"scored":true,"layout_warning":null,"stem":"A boat is traveling at a speed of 30 miles per hour. What is the boat’s speed in feet per second? (Note: 1 mile = 5,280 feet)","stimulus":"","stimulus_html":"<figure><img src=\"/api/assets/004b2f3a71cb7677538c7aa5ef00da5b53e339481378eae122ec40accdeadbe4\" alt=\"Question 10 as printed in the Preparing for the ACT — Practice Test 1 booklet\"><figcaption>As printed in the official booklet.</figcaption></figure>","stem_html":"<p>A boat is traveling at a speed of 30 miles per hour. What is the boat’s speed in feet per second? (Note: 1 mile = 5,280 feet)</p>","rationale_html":null,"correct_answer":["H"],"equiv_key":"31c876af7d32411550eec6f6","has_media":true,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"F","content_html":"<p>20</p>","ord":0},{"label":"G","content_html":"<p>30</p>","ord":1},{"label":"H","content_html":"<p>44</p>","ord":2},{"label":"J","content_html":"<p>176</p>","ord":3}],"passage":null,"attribution":{"source_id":"act_practice_pdf","source_name":"Official ACT full-length practice tests (PDF)","rights_holder":"ACT Education Corp.","canonical_url":"https://www.act.org/content/act/en/products-and-services/the-act/test-preparation.html","retrieved_from":"https://www.act.org/content/act/en/products-and-services/the-act/test-preparation.html","attribution":"Full-length ACT practice tests © ACT Education Corp., published free at act.org. Questions are retired items from previous ACT administrations.","disclaimer":"Extracted from a print-layout PDF: equations, figures and charts do not survive as text. Use the original PDF for anything that renders poorly. ACT® is a registered trademark of ACT Education Corp., which is not affiliated with, does not sponsor, and does not endorse this project.","license":"ACT Education Corp. copyright. Published free for personal test preparation; not licensed for redistribution.","redistributable":false,"item_count":342},"equivalents":[{"id":"act_quizme:math:q2:03","source_id":"act_quizme","source_item_id":"math-q2-03","external_id":"e145c0352c1a67b8","program":"ACT","section":"math","category_code":null,"category":null,"subcategory_code":null,"subcategory":null,"form_id":null,"passage_id":null,"position":3,"scored":true,"layout_warning":null,"stem":"A boat is traveling at a speed of 30 miles per hour. What is the boat’s speed in feet per second? (Note: 1 mile =5,280 feet)","stimulus":"","stimulus_html":null,"stem_html":"<div class=\"math-question-wrap\"><div class=\"item-content\" id=\"p30\"> \t\t\t\t\t \t\t\t\t\t<div>A boat is traveling at a speed of 30 miles per hour. What is the boat’s&nbsp;speed in feet per second?</div><div>(Note: 1 mile =5,280 feet)</div> \t\t\t\t</div> \t\t\t\t</div>\n<div><div class=\"math-answer-select-wrap\"></div></div>","rationale_html":"<p><strong>A.</strong> <strong>Incorrect.</strong> Use the fact that there are 5,280 feet in 1 mile, 60 minutes in 1 hour, and 60 seconds in 1 minute to set up a unit conversion problem. Be careful to multiply so that the units cancel to leave feet per second as the final unit. You may have multiplied incorrectly and then chosen the closest answer</p><p><strong>B.</strong> <strong>Incorrect.</strong> You may have thought the speed in feet per second would be the same as the speed in miles per hour. Instead, use the fact that there are 5,280 feet in 1 mile, 60 minutes in 1 hour, and 60 seconds in 1 minute to set up a unit conversion problem. Be careful to multiply so that the units cancel to leave feet per second as the final unit.</p><p><strong>C.</strong> <strong>Correct.</strong> Use the fact that there are 5,280 feet in 1 mile, 60 minutes in 1 hour, and 60 seconds in 1 minute to set up a unit conversion problem. Be careful to multiply so that the units cancel to leave feet per second as the final unit: <span style=\"white-space: nowrap;\"><math><mfrac><mrow><mn>30</mn><mo>&nbsp;</mo><mtext>miles</mtext></mrow><mrow><mn>1</mn><mo>&nbsp;</mo><mtext>hour</mtext></mrow></mfrac><mo>×</mo><mfrac><mrow><mn>1</mn><mo>&nbsp;</mo><mtext>hour</mtext></mrow><mrow><mn>60</mn><mo>&nbsp;</mo><mtext>minutes</mtext></mrow></mfrac><mo>×</mo><mfrac><mrow><mn>1</mn><mo>&nbsp;</mo><mtext>minute</mtext></mrow><mrow><mn>60</mn><mo>&nbsp;</mo><mtext>seconds</mtext></mrow></mfrac><mo>×</mo><mfrac><mrow><mn>5</mn><mo rspace=\"0\">,</mo><mn>280</mn><mo>&nbsp;</mo><mtext>feet</mtext></mrow><mrow><mn>1</mn><mo>&nbsp;</mo><mtext>mile</mtext></mrow></mfrac><mo>=</mo><mfrac><mrow><mn>30</mn><mfenced><mrow><mn>5</mn><mo rspace=\"0\">,</mo><mn>280</mn></mrow></mfenced><mo>&nbsp;</mo><mtext>feet</mtext></mrow><mrow><mn>60</mn><mfenced><mn>60</mn></mfenced><mo>&nbsp;</mo><mtext>seconds</mtext></mrow></mfrac><mo>=</mo><mn>44</mn><mo>&nbsp;</mo><mfrac><mtext>feet</mtext><mtext>second</mtext></mfrac></math>.</span></p><p><strong>D.</strong> <strong>Incorrect.</strong> You may have divided the numbers given in the problem, <span style=\"white-space: nowrap;\"><math><mfrac><mrow><mn>5</mn><mo rspace=\"0\">,</mo><mn>280</mn></mrow><mn>30</mn></mfrac><mo>=</mo><mn>176</mn></math>.</span> Instead, use the fact that there are 5,280 feet in 1 mile, 60 minutes in 1 hour, and 60 seconds in 1 minute to set up a unit conversion problem. Be careful to multiply so that the units cancel to leave feet per second as the final unit.</p>","correct_answer":["C"],"equiv_key":"31c876af7d32411550eec6f6","has_media":false,"has_mathml":true,"has_table":false,"section_label":"Mathematics","attribution":{"source_id":"act_quizme","source_name":"ACT QuizMe official practice questions","rights_holder":"ACT Education Corp.","canonical_url":"https://quizme.act.org/","retrieved_from":"https://quizme.act.org/","attribution":"Official ACT practice questions © ACT Education Corp., from the QuizMe practice quizzes at quizme.act.org.","disclaimer":"ACT® is a registered trademark of ACT Education Corp., which is not affiliated with, does not sponsor, and does not endorse this project.","license":"ACT Education Corp. copyright. Published free on the public web; not licensed for redistribution.","redistributable":false,"item_count":78}}]}