{"id":227641,"date":"2025-06-06T10:14:05","date_gmt":"2025-06-06T10:14:05","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=227641"},"modified":"2025-06-06T10:14:08","modified_gmt":"2025-06-06T10:14:08","slug":"a-map-is-drawn-using-the-scale-2-cm100-mi-on-the-map-town-b-is-3-5-centimeters-from-town-a-and-town-c-is-2-centimeters-past","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/06\/a-map-is-drawn-using-the-scale-2-cm100-mi-on-the-map-town-b-is-3-5-centimeters-from-town-a-and-town-c-is-2-centimeters-past\/","title":{"rendered":"A map is drawn using the scale 2 cm:100 mi. On the map, Town B is 3.5 centimeters from Town A, and Town C is 2 centimeters past"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">A map is drawn using the scale 2 cm:100 mi. On the map, Town B is 3.5 centimeters from Town A, and Town C is 2 centimeters past Town B. How many miles apart are Town A and Town C? A.) 275 miles B.) 200 miles C.) 550 miles D.) 1,100 miles<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The map scale is <strong>2 cm : 100 miles<\/strong>.<\/li>\n\n\n\n<li><strong>Town B is 3.5 cm from Town A<\/strong>.<\/li>\n\n\n\n<li><strong>Town C is 2 cm past Town B<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">This means the <strong>total distance from Town A to Town C<\/strong> is: 3.5&nbsp;cm&nbsp;(A&nbsp;to&nbsp;B)+2&nbsp;cm&nbsp;(B&nbsp;to&nbsp;C)=5.5&nbsp;cm3.5 \\text{ cm (A to B)} + 2 \\text{ cm (B to C)} = 5.5 \\text{ cm}3.5&nbsp;cm&nbsp;(A&nbsp;to&nbsp;B)+2&nbsp;cm&nbsp;(B&nbsp;to&nbsp;C)=5.5&nbsp;cm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now, apply the scale to convert this map distance to real-world miles: If&nbsp;2&nbsp;cm=100&nbsp;miles,&nbsp;then&nbsp;1&nbsp;cm=1002=50&nbsp;miles\\text{If 2 cm} = 100 \\text{ miles}, \\text{ then } 1 \\text{ cm} = \\frac{100}{2} = 50 \\text{ miles}If&nbsp;2&nbsp;cm=100&nbsp;miles,&nbsp;then&nbsp;1&nbsp;cm=2100\u200b=50&nbsp;miles<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now multiply: 5.5&nbsp;cm\u00d750&nbsp;miles\/cm=275&nbsp;miles5.5 \\text{ cm} \\times 50 \\text{ miles\/cm} = 275 \\text{ miles}5.5&nbsp;cm\u00d750&nbsp;miles\/cm=275&nbsp;miles<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 <strong>Correct Answer: A.) 275 miles<\/strong><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">This problem involves interpreting a map scale and applying it to measure the real-world distance between three towns. A map scale gives the ratio between distances on the map and the actual distances they represent on the ground. In this case, the scale is <strong>2 cm : 100 miles<\/strong>, which tells us that every 2 centimeters on the map equals 100 real-world miles. To make calculations easier, we simplify this to <strong>1 cm : 50 miles<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Town B is 3.5 cm away from Town A on the map. That means the distance between Town A and Town B in real life is: 3.5\u2009cm\u00d750\u2009miles\/cm=175\u2009miles3.5 \\, \\text{cm} \\times 50 \\, \\text{miles\/cm} = 175 \\, \\text{miles}3.5cm\u00d750miles\/cm=175miles<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Then, the problem states that Town C is <strong>2 cm past Town B<\/strong>, which implies Town C is an additional 2 cm away in the same direction. So the total map distance from Town A to Town C is: 3.5\u2009cm+2\u2009cm=5.5\u2009cm3.5 \\, \\text{cm} + 2 \\, \\text{cm} = 5.5 \\, \\text{cm}3.5cm+2cm=5.5cm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We convert this total map distance to miles: 5.5\u2009cm\u00d750\u2009miles\/cm=275\u2009miles5.5 \\, \\text{cm} \\times 50 \\, \\text{miles\/cm} = 275 \\, \\text{miles}5.5cm\u00d750miles\/cm=275miles<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore, <strong>the real-world distance between Town A and Town C is 275 miles<\/strong>. This demonstrates the importance of understanding how to interpret and use map scales to calculate actual distances. It also shows that small differences on a map can represent large distances in reality, depending on the scale used.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner9-117.jpeg\" alt=\"\" class=\"wp-image-227642\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A map is drawn using the scale 2 cm:100 mi. On the map, Town B is 3.5 centimeters from Town A, and Town C is 2 centimeters past Town B. How many miles apart are Town A and Town C? A.) 275 miles B.) 200 miles C.) 550 miles D.) 1,100 miles The Correct Answer [&hellip;]<\/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-227641","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227641","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=227641"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227641\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=227641"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=227641"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=227641"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}