{"id":230676,"date":"2025-06-09T19:48:15","date_gmt":"2025-06-09T19:48:15","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=230676"},"modified":"2025-06-09T19:48:18","modified_gmt":"2025-06-09T19:48:18","slug":"raul-biked-at-a-steady-speed-during-his-8-mile-ride","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/09\/raul-biked-at-a-steady-speed-during-his-8-mile-ride\/","title":{"rendered":"Raul biked at a steady speed during his 8-mile ride."},"content":{"rendered":"\n

Raul biked at a steady speed during his 8-mile ride. He finished the ride in (4)\/(5) hour. Which fraction represents Raul’s speed in miles per hour? (4)\/(5) (4)\/(5) (8)\/(5) (8)\/((4)\/(5))<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Let’s analyze the problem step-by-step:<\/p>\n\n\n\n

Problem:<\/strong>
Raul biked 8 miles in 45\\frac{4}{5}54\u200b hour. We need to find his speed in miles per hour as a fraction.<\/p>\n\n\n\n

\n\n\n\n

Step 1: Understand what speed means<\/h3>\n\n\n\n

Speed is calculated as: Speed=DistanceTime\\text{Speed} = \\frac{\\text{Distance}}{\\text{Time}}Speed=TimeDistance\u200b<\/p>\n\n\n\n

Raul traveled 8 miles in 45\\frac{4}{5}54\u200b hour, so his speed sss is: s=8 miles45 hours = \\frac{8 \\text{ miles}}{\\frac{4}{5} \\text{ hour}}s=54\u200b hour8 miles\u200b<\/p>\n\n\n\n

\n\n\n\n

Step 2: Divide by a fraction<\/h3>\n\n\n\n

Dividing by a fraction is the same as multiplying by its reciprocal: s=8\u00d754s = 8 \\times \\frac{5}{4}s=8\u00d745\u200b<\/p>\n\n\n\n

\n\n\n\n

Step 3: Simplify the multiplication<\/h3>\n\n\n\n

Multiply numerators and denominators: s=8\u00d754=404=10s = \\frac{8 \\times 5}{4} = \\frac{40}{4} = 10s=48\u00d75\u200b=440\u200b=10<\/p>\n\n\n\n

\n\n\n\n

Step 4: Express as a fraction<\/h3>\n\n\n\n

The speed is 10 miles per hour. In terms of fractions given as options, the one that matches the operation is: 845\\frac{8}{\\frac{4}{5}}54\u200b8\u200b<\/p>\n\n\n\n

This expression represents dividing 8 by 45\\frac{4}{5}54\u200b, which is how you calculate speed.<\/p>\n\n\n\n

\n\n\n\n

Summary:<\/h3>\n\n\n\n
    \n
  • The correct fraction representing Raul\u2019s speed is 845\\frac{8}{\\frac{4}{5}}54\u200b8\u200b.<\/li>\n\n\n\n
  • Simplifying this gives 10 miles per hour.<\/li>\n<\/ul>\n\n\n\n
    \n\n\n\n

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

    To find Raul\u2019s speed in miles per hour, we need to remember the basic formula for speed: Speed=DistanceTime\\text{Speed} = \\frac{\\text{Distance}}{\\text{Time}}Speed=TimeDistance\u200b<\/p>\n\n\n\n

    Here, Raul rode 8 miles in 45\\frac{4}{5}54\u200b hour. This means the total distance traveled was 8 miles and the total time taken was four-fifths of an hour.<\/p>\n\n\n\n

    We need to divide 8 miles by 45\\frac{4}{5}54\u200b hour. Dividing by a fraction can be tricky if you’re not familiar with the rules, but the key idea is to multiply by the reciprocal of the fraction.<\/p>\n\n\n\n

    The reciprocal of 45\\frac{4}{5}54\u200b is 54\\frac{5}{4}45\u200b, so: 845=8\u00d754\\frac{8}{\\frac{4}{5}} = 8 \\times \\frac{5}{4}54\u200b8\u200b=8\u00d745\u200b<\/p>\n\n\n\n

    When you multiply 8 by 54\\frac{5}{4}45\u200b, you multiply the numerators and divide by the denominator: 8\u00d754=8\u00d754=404=108 \\times \\frac{5}{4} = \\frac{8 \\times 5}{4} = \\frac{40}{4} = 108\u00d745\u200b=48\u00d75\u200b=440\u200b=10<\/p>\n\n\n\n

    Therefore, Raul’s speed is 10 miles per hour.<\/p>\n\n\n\n

    Among the answer choices, the expression 845\\frac{8}{\\frac{4}{5}}54\u200b8\u200b correctly shows the operation needed to find speed. The other options, like 45\\frac{4}{5}54\u200b or 85\\frac{8}{5}58\u200b, do not correctly represent the speed.<\/p>\n\n\n\n

    This method reflects the real-world concept that when you cover a certain distance in less than one hour, your speed will be greater than that distance because the time is less than one hour (since 45<1\\frac{4}{5} < 154\u200b<1).<\/p>\n\n\n\n

    \n\n\n\n

    Final answer:<\/strong> 845\\boxed{\\frac{8}{\\frac{4}{5}}}54\u200b8\u200b\u200b<\/p>\n\n\n\n

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

    Raul biked at a steady speed during his 8-mile ride. He finished the ride in (4)\/(5) hour. Which fraction represents Raul’s speed in miles per hour? (4)\/(5) (4)\/(5) (8)\/(5) (8)\/((4)\/(5)) The Correct Answer and Explanation is: Let’s analyze the problem step-by-step: Problem:Raul biked 8 miles in 45\\frac{4}{5}54\u200b hour. We need to find his speed in […]<\/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-230676","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230676","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=230676"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230676\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=230676"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=230676"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=230676"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}