{"id":156862,"date":"2023-09-02T15:20:05","date_gmt":"2023-09-02T09:50:05","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=156862"},"modified":"2023-09-02T15:20:08","modified_gmt":"2023-09-02T09:50:08","slug":"the-activities-of-a-project-their-duration-and-the-precedence-relationships-are-given-in-the-table","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-activities-of-a-project-their-duration-and-the-precedence-relationships-are-given-in-the-table\/","title":{"rendered":"The activities of a project, their duration and the precedence relationships are given in the table"},"content":{"rendered":"\n<p>Q. The activities of a project, their duration and the precedence relationships are given in the table. For example, in a precedence relationship \u201cX &lt; Y, Z\u201d means that X is predecessor of activities Y and Z. The time to complete the activities along the critical path is weeks.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Activity<\/td><td>Duration (Weeks)<\/td><td>Precedence Relationship<\/td><\/tr><tr><td>A<\/td><td>5<\/td><td>A &lt; B, C, D<\/td><\/tr><tr><td>B<\/td><td>7<\/td><td>B &lt; E, F, G<\/td><\/tr><tr><td>C<\/td><td>10<\/td><td>C &lt; I<\/td><\/tr><tr><td>D<\/td><td>6<\/td><td>D &lt; G<\/td><\/tr><tr><td>E<\/td><td>3<\/td><td>E &lt; H<\/td><\/tr><tr><td>F<\/td><td>9<\/td><td>F &lt; I<\/td><\/tr><tr><td>G<\/td><td>7<\/td><td>G &lt; I<\/td><\/tr><tr><td>H<\/td><td>4<\/td><td>H &lt; I<\/td><\/tr><tr><td>I<\/td><td>2<\/td><td>&#8212;-<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>(A) 17&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (B) 21<\/p>\n\n\n\n<p>(C) 23&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (D) 25<\/p>\n\n\n\n<p>Ans: 23<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"390\" height=\"238\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-717.png\" alt=\"\" class=\"wp-image-156863\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-717.png 390w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-717-300x183.png 300w\" sizes=\"(max-width: 390px) 100vw, 390px\" \/><\/figure>\n\n\n\n<p>So critical path is A &#8211; B &#8211; F &#8211; I<\/p>\n\n\n\n<p>Critical path duration = 23 weeks<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. The activities of a project, their duration and the precedence relationships are given in the table. For example, in a precedence relationship \u201cX &lt; Y, Z\u201d means that X is predecessor of activities Y and Z. The time to complete the activities along the critical path is weeks. Activity Duration (Weeks) Precedence Relationship A [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":156864,"comment_status":"open","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-4)","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-4)","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-4)","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":[5141],"tags":[5140],"class_list":["post-156862","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156862","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=156862"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156862\/revisions"}],"predecessor-version":[{"id":156865,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156862\/revisions\/156865"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/156864"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=156862"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=156862"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=156862"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}