{"id":227191,"date":"2025-06-06T03:07:20","date_gmt":"2025-06-06T03:07:20","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=227191"},"modified":"2025-06-06T03:07:23","modified_gmt":"2025-06-06T03:07:23","slug":"elena-bikes-20-minutes-each-day-for-exercise","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/06\/elena-bikes-20-minutes-each-day-for-exercise\/","title":{"rendered":"Elena bikes 20 minutes each day for exercise"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Elena bikes 20 minutes each day for exercise. Write an equation to describe the relationship between her distance in miles, D, and her biking speed, in miles per hour, when she bikes: A.) At a constant speed of 13 miles per hour for the entire 20 minutes. B.) At a constant speed of 15 miles per hour for the first 5 minutes, then at 12 miles per hour for the last 15 minutes. C.) At a constant speed of M miles per hour for the first 5 minutes, then N miles per hour for the last 15 minutes. Plz answer ASAP!<\/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<p class=\"wp-block-paragraph\">Here are the correct equations and explanations for each part of the problem:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>A. Constant Speed of 13 mph for 20 Minutes<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">We use the formula: Distance=Speed\u00d7Time\\text{Distance} = \\text{Speed} \\times \\text{Time}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Time must be in <strong>hours<\/strong>. Since 20 minutes = 20\/60 = <strong>1\/3 hour<\/strong>, the equation is: D=13\u00d713=133\u22484.33&nbsp;milesD = 13 \\times \\frac{1}{3} = \\frac{13}{3} \\approx 4.33 \\text{ miles}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>B. 15 mph for 5 minutes, then 12 mph for 15 minutes<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Convert time to hours:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>5 minutes = 5\/60 = <strong>1\/12 hour<\/strong><\/li>\n\n\n\n<li>15 minutes = 15\/60 = <strong>1\/4 hour<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Use the formula for each segment, then add distances: D=(15\u00d7112)+(12\u00d714)=1512+124=54+3=174=4.25&nbsp;milesD = (15 \\times \\frac{1}{12}) + (12 \\times \\frac{1}{4}) = \\frac{15}{12} + \\frac{12}{4} = \\frac{5}{4} + 3 = \\frac{17}{4} = 4.25 \\text{ miles}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>C. M mph for 5 minutes, then N mph for 15 minutes<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Using the same time conversions as part B: D=M\u00d7112+N\u00d714=M12+N4D = M \\times \\frac{1}{12} + N \\times \\frac{1}{4} = \\frac{M}{12} + \\frac{N}{4}<\/p>\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\">To solve these types of problems, we rely on the fundamental formula for distance: Distance=Speed\u00d7Time\\text{Distance} = \\text{Speed} \\times \\text{Time}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This equation means that the total distance Elena bikes depends on how fast she goes (speed) and how long she rides (time). However, because speed is measured in <strong>miles per hour (mph)<\/strong>, time must also be expressed in <strong>hours<\/strong> rather than minutes. That&#8217;s why in all parts of the problem, we first convert minutes into hours. For example, 20 minutes is 13\\frac{1}{3} of an hour, and 5 minutes is 112\\frac{1}{12} of an hour.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In part A, since Elena bikes at a constant speed the whole time, we directly multiply the speed by the time to get the distance.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In part B, she changes her speed, so we break the trip into two parts. We calculate how far she bikes at each speed and then add the two distances together.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In part C, we don&#8217;t use specific numbers for the speeds but use variables MM and NN. The process is the same: convert time, calculate each segment, and add them.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Understanding this method helps in real-life scenarios too\u2014when tracking workouts, planning trips, or analyzing pace. The key is consistent units and applying the basic distance formula logically.<\/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-banner7-261.jpeg\" alt=\"\" class=\"wp-image-227192\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Elena bikes 20 minutes each day for exercise. Write an equation to describe the relationship between her distance in miles, D, and her biking speed, in miles per hour, when she bikes: A.) At a constant speed of 13 miles per hour for the entire 20 minutes. B.) At a constant speed of 15 miles [&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-227191","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227191","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=227191"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227191\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=227191"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=227191"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=227191"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}