{"id":90723,"date":"2025-06-01T10:35:22","date_gmt":"2025-06-01T10:35:22","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=90723"},"modified":"2025-06-01T10:35:22","modified_gmt":"2025-06-01T10:35:22","slug":"two-friends-10-km-apart-start-running-towards-each-other-at-speeds-of","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/two-friends-10-km-apart-start-running-towards-each-other-at-speeds-of\/","title":{"rendered":"Two friends 10 km apart start running towards each other at speeds of"},"content":{"rendered":"<p>Two friends 10 km apart start running towards each other at speeds of 10 km\/hr and 14 km\/hr respectively. After how much time will they meet each other?<\/p>\n<p>[amp_mcq option1=&#8221;20 minutes&#8221; option2=&#8221;25 minutes&#8221; option3=&#8221;28 minutes&#8221; option4=&#8221;30 minutes&#8221; correct=&#8221;option2&#8243;]<\/p>\n<div class=\"psc-box-pyq-exam-year-detail\">\n<div class=\"pyq-exam\">\n<div class=\"psc-heading\">This question was previously asked in<\/div>\n<div class=\"psc-title line-ellipsis\">UPSC CAPF &#8211; 2022<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-capf-2022.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-capf-2022\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nWhen two objects move towards each other, their relative speed is the sum of their individual speeds. The distance between the two friends is 10 km. Their speeds are 10 km\/hr and 14 km\/hr.<br \/>\nRelative speed = 10 km\/hr + 14 km\/hr = 24 km\/hr.<br \/>\nThe time taken to meet is the distance divided by the relative speed.<br \/>\nTime = Distance \/ Relative Speed = 10 km \/ 24 km\/hr = 10\/24 hours.<br \/>\nTo convert hours to minutes, multiply by 60:<br \/>\nTime in minutes = (10\/24) * 60 = (5\/12) * 60 = 5 * 5 = 25 minutes.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\n&#8211; When objects move towards each other, use relative speed, which is the sum of their speeds.<br \/>\n&#8211; Use the formula Time = Distance \/ Speed.<br \/>\n&#8211; Ensure consistent units (convert hours to minutes if necessary).<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nThis is a classic relative motion problem. The concept of relative speed simplifies calculating the time until they meet or the distance covered by one relative to the other. If they were moving away from each other, the relative speed would be the difference between their speeds.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Two friends 10 km apart start running towards each other at speeds of 10 km\/hr and 14 km\/hr respectively. After how much time will they meet each other? [amp_mcq option1=&#8221;20 minutes&#8221; option2=&#8221;25 minutes&#8221; option3=&#8221;28 minutes&#8221; option4=&#8221;30 minutes&#8221; correct=&#8221;option2&#8243;] This question was previously asked in UPSC CAPF &#8211; 2022 Download PDFAttempt Online When two objects move &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"Two friends 10 km apart start running towards each other at speeds of\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/two-friends-10-km-apart-start-running-towards-each-other-at-speeds-of\/#more-90723\">Detailed Solution<span class=\"screen-reader-text\">Two friends 10 km apart start running towards each other at speeds of<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1085],"tags":[1108,1102],"class_list":["post-90723","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1108","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Two friends 10 km apart start running towards each other at speeds of<\/title>\n<meta name=\"description\" content=\"When two objects move towards each other, their relative speed is the sum of their individual speeds. The distance between the two friends is 10 km. Their speeds are 10 km\/hr and 14 km\/hr. Relative speed = 10 km\/hr + 14 km\/hr = 24 km\/hr. The time taken to meet is the distance divided by the relative speed. Time = Distance \/ Relative Speed = 10 km \/ 24 km\/hr = 10\/24 hours. To convert hours to minutes, multiply by 60: Time in minutes = (10\/24) * 60 = (5\/12) * 60 = 5 * 5 = 25 minutes. - When objects move towards each other, use relative speed, which is the sum of their speeds. - Use the formula Time = Distance \/ Speed. - Ensure consistent units (convert hours to minutes if necessary).\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/two-friends-10-km-apart-start-running-towards-each-other-at-speeds-of\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Two friends 10 km apart start running towards each other at speeds of\" \/>\n<meta property=\"og:description\" content=\"When two objects move towards each other, their relative speed is the sum of their individual speeds. The distance between the two friends is 10 km. Their speeds are 10 km\/hr and 14 km\/hr. Relative speed = 10 km\/hr + 14 km\/hr = 24 km\/hr. The time taken to meet is the distance divided by the relative speed. Time = Distance \/ Relative Speed = 10 km \/ 24 km\/hr = 10\/24 hours. To convert hours to minutes, multiply by 60: Time in minutes = (10\/24) * 60 = (5\/12) * 60 = 5 * 5 = 25 minutes. - When objects move towards each other, use relative speed, which is the sum of their speeds. - Use the formula Time = Distance \/ Speed. - Ensure consistent units (convert hours to minutes if necessary).\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/two-friends-10-km-apart-start-running-towards-each-other-at-speeds-of\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T10:35:22+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Two friends 10 km apart start running towards each other at speeds of","description":"When two objects move towards each other, their relative speed is the sum of their individual speeds. The distance between the two friends is 10 km. Their speeds are 10 km\/hr and 14 km\/hr. Relative speed = 10 km\/hr + 14 km\/hr = 24 km\/hr. The time taken to meet is the distance divided by the relative speed. Time = Distance \/ Relative Speed = 10 km \/ 24 km\/hr = 10\/24 hours. To convert hours to minutes, multiply by 60: Time in minutes = (10\/24) * 60 = (5\/12) * 60 = 5 * 5 = 25 minutes. - When objects move towards each other, use relative speed, which is the sum of their speeds. - Use the formula Time = Distance \/ Speed. - Ensure consistent units (convert hours to minutes if necessary).","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/two-friends-10-km-apart-start-running-towards-each-other-at-speeds-of\/","og_locale":"en_US","og_type":"article","og_title":"Two friends 10 km apart start running towards each other at speeds of","og_description":"When two objects move towards each other, their relative speed is the sum of their individual speeds. The distance between the two friends is 10 km. Their speeds are 10 km\/hr and 14 km\/hr. Relative speed = 10 km\/hr + 14 km\/hr = 24 km\/hr. The time taken to meet is the distance divided by the relative speed. Time = Distance \/ Relative Speed = 10 km \/ 24 km\/hr = 10\/24 hours. To convert hours to minutes, multiply by 60: Time in minutes = (10\/24) * 60 = (5\/12) * 60 = 5 * 5 = 25 minutes. - When objects move towards each other, use relative speed, which is the sum of their speeds. - Use the formula Time = Distance \/ Speed. - Ensure consistent units (convert hours to minutes if necessary).","og_url":"https:\/\/exam.pscnotes.com\/mcq\/two-friends-10-km-apart-start-running-towards-each-other-at-speeds-of\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T10:35:22+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/two-friends-10-km-apart-start-running-towards-each-other-at-speeds-of\/","url":"https:\/\/exam.pscnotes.com\/mcq\/two-friends-10-km-apart-start-running-towards-each-other-at-speeds-of\/","name":"Two friends 10 km apart start running towards each other at speeds of","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T10:35:22+00:00","dateModified":"2025-06-01T10:35:22+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"When two objects move towards each other, their relative speed is the sum of their individual speeds. The distance between the two friends is 10 km. Their speeds are 10 km\/hr and 14 km\/hr. Relative speed = 10 km\/hr + 14 km\/hr = 24 km\/hr. The time taken to meet is the distance divided by the relative speed. Time = Distance \/ Relative Speed = 10 km \/ 24 km\/hr = 10\/24 hours. To convert hours to minutes, multiply by 60: Time in minutes = (10\/24) * 60 = (5\/12) * 60 = 5 * 5 = 25 minutes. - When objects move towards each other, use relative speed, which is the sum of their speeds. - Use the formula Time = Distance \/ Speed. - Ensure consistent units (convert hours to minutes if necessary).","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/two-friends-10-km-apart-start-running-towards-each-other-at-speeds-of\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/two-friends-10-km-apart-start-running-towards-each-other-at-speeds-of\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/two-friends-10-km-apart-start-running-towards-each-other-at-speeds-of\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CAPF","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-capf\/"},{"@type":"ListItem","position":3,"name":"Two friends 10 km apart start running towards each other at speeds of"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/90723","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=90723"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/90723\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=90723"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=90723"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=90723"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}