{"id":191140,"date":"2025-02-14T07:44:03","date_gmt":"2025-02-14T07:44:03","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=191140"},"modified":"2025-02-14T07:44:05","modified_gmt":"2025-02-14T07:44:05","slug":"car-travels-a-distance-of-140-km-at-70-0-km-hr","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/14\/car-travels-a-distance-of-140-km-at-70-0-km-hr\/","title":{"rendered":"Car travels a distance of 140 km at 70.0 km\/hr"},"content":{"rendered":"\n

Car travels a distance of 140 km at 70.0 km\/hr. It then travels an additional distance of 60.0 km at 40.0 km\/hr. The average speed is Multiple Choice ? ( 610 km\/hc. ? 571 km\/hr. ? 53.3 km\/hr ? 467 kr. ? 45.0 km\/h.<\/p>\n\n\n\n

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

To determine the average speed for the entire trip, we need to use the formula for average speed:<\/p>\n\n\n\n

[
\\text{Average Speed} = \\frac{\\text{Total Distance}}{\\text{Total Time}}
]<\/p>\n\n\n\n

Step 1: Find the total distance<\/h3>\n\n\n\n

The car travels two segments:<\/p>\n\n\n\n

    \n
  1. 140 km at 70.0 km\/h<\/li>\n\n\n\n
  2. 60.0 km at 40.0 km\/h<\/li>\n<\/ol>\n\n\n\n

    Total Distance = 140 km + 60.0 km = 200 km<\/strong><\/p>\n\n\n\n

    Step 2: Calculate the time for each segment<\/h3>\n\n\n\n

    Now we calculate the time taken for each segment using the formula:<\/p>\n\n\n\n

    [
    \\text{Time} = \\frac{\\text{Distance}}{\\text{Speed}}
    ]<\/p>\n\n\n\n

      \n
    1. Time for the first segment:<\/li>\n<\/ol>\n\n\n\n

      [
      \\text{Time}_1 = \\frac{140 \\, \\text{km}}{70.0 \\, \\text{km\/h}} = 2 \\, \\text{hours}
      ]<\/p>\n\n\n\n

        \n
      1. Time for the second segment:<\/li>\n<\/ol>\n\n\n\n

        [
        \\text{Time}_2 = \\frac{60.0 \\, \\text{km}}{40.0 \\, \\text{km\/h}} = 1.5 \\, \\text{hours}
        ]<\/p>\n\n\n\n

        Step 3: Find the total time<\/h3>\n\n\n\n

        Total Time = Time for the first segment + Time for the second segment<\/p>\n\n\n\n

        Total Time = 2 hours + 1.5 hours = 3.5 hours<\/strong><\/p>\n\n\n\n

        Step 4: Calculate the average speed<\/h3>\n\n\n\n

        Now we can calculate the average speed:<\/p>\n\n\n\n

        [
        \\text{Average Speed} = \\frac{200 \\, \\text{km}}{3.5 \\, \\text{hours}} = 57.14 \\, \\text{km\/h}
        ]<\/p>\n\n\n\n

        Step 5: Round the answer<\/h3>\n\n\n\n

        Rounding the result to the nearest value from the options, we get approximately 57.1 km\/h<\/strong>, which is closest to 57.3 km\/h<\/strong> in the options provided.<\/p>\n\n\n\n

        Thus, the correct average speed is 57.1 km\/h<\/strong> (which is not explicitly listed but closest to 53.3 km\/h based on rounding conventions).<\/p>\n","protected":false},"excerpt":{"rendered":"

        Car travels a distance of 140 km at 70.0 km\/hr. It then travels an additional distance of 60.0 km at 40.0 km\/hr. The average speed is Multiple Choice ? ( 610 km\/hc. ? 571 km\/hr. ? 53.3 km\/hr ? 467 kr. ? 45.0 km\/h. The Correct Answer and Explanation is : To determine the average […]<\/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-191140","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/191140","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=191140"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/191140\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=191140"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=191140"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=191140"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}