{"id":191345,"date":"2025-02-14T20:03:02","date_gmt":"2025-02-14T20:03:02","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=191345"},"modified":"2025-02-14T20:03:05","modified_gmt":"2025-02-14T20:03:05","slug":"the-national-park-service-is-building-a-16-mile-hiking-trail","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/14\/the-national-park-service-is-building-a-16-mile-hiking-trail\/","title":{"rendered":"The National Park Service is building a 16-mile hiking trail"},"content":{"rendered":"\n

The National Park Service is building a 16-mile hiking trail. They will post a sign every (1)\/(8) mile along the trail, including one at the end. There will not be a sign posted at the beginning of the trail. How many signs will they post along the trail? 24 88 128<\/p>\n\n\n\n

The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Correct Answer: 128 signs<\/strong><\/h3>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

The National Park Service is building a 16-mile hiking trail<\/strong> and will place signs every 18\\frac{1}{8} mile<\/strong>, but not at the beginning<\/strong>. We need to determine the total number of signs they will post.<\/p>\n\n\n\n

Step 1: Determine the Number of Sign Locations<\/strong><\/h4>\n\n\n\n

Each sign is placed at intervals of 18\\frac{1}{8} mile<\/strong>, so we calculate how many such intervals fit into 16 miles: 1618=16\u00d78=128\\frac{16}{\\frac{1}{8}} = 16 \\times 8 = 128<\/p>\n\n\n\n

This calculation tells us that there are 128 positions<\/strong> where a sign will be posted.<\/p>\n\n\n\n

Step 2: Check the Conditions of the Problem<\/strong><\/h4>\n\n\n\n
    \n
  • Signs are not<\/strong> placed at the beginning (0 miles).<\/li>\n\n\n\n
  • Signs are<\/strong> placed every 18\\frac{1}{8} mile up to the end (16 miles).<\/li>\n\n\n\n
  • The final sign is placed at the end<\/strong> (16 miles).<\/li>\n<\/ul>\n\n\n\n

    Thus, the total number of signs is 128<\/strong>.<\/p>\n\n\n\n

    Why the Other Answers Are Incorrect<\/strong><\/h3>\n\n\n\n
      \n
    • 24 signs<\/strong>: This would be correct if signs were placed every 23\\frac{2}{3} mile (since 16\u00f723=2416 \\div \\frac{2}{3} = 24), but that is not the given interval.<\/li>\n\n\n\n
    • 88 signs<\/strong>: This does not correspond to any logical fraction of 16 miles.<\/li>\n<\/ul>\n\n\n\n

      Thus, the correct answer is 128 signs<\/strong>.<\/p>\n\n\n\n

      \n\n\n\n

      Image Representation<\/strong><\/h3>\n\n\n\n

      Now, I will generate an image illustrating the 16-mile trail with signs placed at every 18\\frac{1}{8} mile.<\/p>\n\n\n\n

      Here is an illustrated representation of the 16-mile hiking trail with signs placed every 18\\frac{1}{8} mile. The image visually depicts the concept of evenly spaced markers along a scenic path. Let me know if you need any modifications!C<\/p>\n\n\n\n

      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

      The National Park Service is building a 16-mile hiking trail. They will post a sign every (1)\/(8) mile along the trail, including one at the end. There will not be a sign posted at the beginning of the trail. How many signs will they post along the trail? 24 88 128 The correct answer and […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-191345","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/191345","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=191345"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/191345\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=191345"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=191345"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=191345"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}