{"id":44875,"date":"2025-06-30T19:31:37","date_gmt":"2025-06-30T19:31:37","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=44875"},"modified":"2025-06-30T19:31:38","modified_gmt":"2025-06-30T19:31:38","slug":"a-cyclist-rides-at-an-average-speed-of-18-mi-per-hour","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/a-cyclist-rides-at-an-average-speed-of-18-mi-per-hour\/","title":{"rendered":"A cyclist rides at an average speed of 18 mi per hour"},"content":{"rendered":"\n<p>A cyclist rides at an average speed of 18 mi per hour. If she wants to bike 212 km, how long (in hours) must she ride?<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To determine how long the cyclist must ride to cover 212 kilometers at an average speed of 18 miles per hour, we need to first convert the distance from kilometers to miles. This conversion is necessary because the speed is given in miles per hour.<\/p>\n\n\n\n<p>The conversion factor between kilometers and miles is 1 kilometer = 0.621371 miles. So, to convert 212 kilometers to miles, we multiply: 212&nbsp;km\u00d70.621371=131.47&nbsp;miles212 \\text{ km} \\times 0.621371 = 131.47 \\text{ miles}212&nbsp;km\u00d70.621371=131.47&nbsp;miles<\/p>\n\n\n\n<p>Now that we know the cyclist needs to cover 131.47 miles, we can use the formula for time, which is: Time=DistanceSpeed\\text{Time} = \\frac{\\text{Distance}}{\\text{Speed}}Time=SpeedDistance\u200b<\/p>\n\n\n\n<p>We already know the cyclist\u2019s speed is 18 miles per hour, and the distance to be traveled is 131.47 miles. So, substituting these values into the formula: Time=131.47&nbsp;miles18&nbsp;miles&nbsp;per&nbsp;hour=7.3&nbsp;hours\\text{Time} = \\frac{131.47 \\text{ miles}}{18 \\text{ miles per hour}} = 7.3 \\text{ hours}Time=18&nbsp;miles&nbsp;per&nbsp;hour131.47&nbsp;miles\u200b=7.3&nbsp;hours<\/p>\n\n\n\n<p>Thus, the cyclist will need approximately <strong>7.3 hours<\/strong> to complete the 212 kilometers.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>The key steps in this problem are:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Conversion of units<\/strong>: Since the speed is in miles per hour, we first convert the distance from kilometers to miles using the appropriate conversion factor.<\/li>\n\n\n\n<li><strong>Time calculation<\/strong>: Once the distance is converted to miles, we use the time formula. Time is calculated by dividing the distance by the speed. This gives the total time the cyclist will need to ride at the given speed to cover the distance.<\/li>\n<\/ol>\n\n\n\n<p>This method ensures that the calculation accounts for both the distance to be traveled and the cyclist&#8217;s speed, leading to an accurate estimate of how long the ride will take.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1554.jpeg\" alt=\"\" class=\"wp-image-44880\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1554.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1554-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1554-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A cyclist rides at an average speed of 18 mi per hour. If she wants to bike 212 km, how long (in hours) must she ride? The Correct Answer and Explanation is: To determine how long the cyclist must ride to cover 212 kilometers at an average speed of 18 miles per hour, we need [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-44875","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44875","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=44875"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44875\/revisions"}],"predecessor-version":[{"id":44884,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44875\/revisions\/44884"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=44875"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=44875"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=44875"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}