{"id":209148,"date":"2025-04-28T13:41:46","date_gmt":"2025-04-28T13:41:46","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=209148"},"modified":"2025-04-28T13:41:48","modified_gmt":"2025-04-28T13:41:48","slug":"an-assembly-line-consists-of-21-tasks-grouped-into-5-workstations","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/04\/28\/an-assembly-line-consists-of-21-tasks-grouped-into-5-workstations\/","title":{"rendered":"An assembly line consists of 21 tasks grouped into 5 workstations"},"content":{"rendered":"\n<p>An assembly line consists of 21 tasks grouped into 5 workstations. The sum of the 21 task durations is 75 minutes. Cycle time for the line is 20 minutes. The efficiency of this line is:<br>75 percent<br>81 percent<br>85 percent<br>100 percent<br>none of these<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To calculate the efficiency of the assembly line, we need to use the formula for line efficiency:<\/p>\n\n\n\n<p>[<br>\\text{Efficiency} = \\frac{\\text{Total Task Time}}{\\text{Number of Workstations} \\times \\text{Cycle Time}} \\times 100<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Identify the given data:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Total task time (sum of task durations)<\/strong> = 75 minutes<\/li>\n\n\n\n<li><strong>Number of workstations<\/strong> = 5<\/li>\n\n\n\n<li><strong>Cycle time<\/strong> = 20 minutes<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Calculate the theoretical minimum time required for the line.<\/h3>\n\n\n\n<p>The theoretical minimum time required for the line is determined by the formula:<\/p>\n\n\n\n<p>[<br>\\text{Theoretical minimum time} = \\text{Number of Workstations} \\times \\text{Cycle Time}<br>]<\/p>\n\n\n\n<p>Substituting the given values:<\/p>\n\n\n\n<p>[<br>\\text{Theoretical minimum time} = 5 \\times 20 = 100 \\text{ minutes}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Calculate the line efficiency.<\/h3>\n\n\n\n<p>Now, we use the efficiency formula to find the percentage efficiency:<\/p>\n\n\n\n<p>[<br>\\text{Efficiency} = \\frac{75 \\text{ minutes}}{100 \\text{ minutes}} \\times 100 = 75\\%<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Interpret the result.<\/h3>\n\n\n\n<p>The efficiency of the assembly line is calculated as 75%. This means that the line is operating at 75% efficiency, using 75 minutes of total task time for a theoretical minimum of 100 minutes, given the 5 workstations and the 20-minute cycle time.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The correct answer is <strong>75 percent<\/strong>.<\/p>\n\n\n\n<p>The line efficiency is an important metric as it measures how effectively the assembly line is utilizing the available time. A higher efficiency indicates better performance and less wasted time. In this case, the assembly line has an efficiency of 75%, meaning 25% of the time is being spent on inefficiencies, such as downtime, delays, or idle time at workstations.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>An assembly line consists of 21 tasks grouped into 5 workstations. The sum of the 21 task durations is 75 minutes. Cycle time for the line is 20 minutes. The efficiency of this line is:75 percent81 percent85 percent100 percentnone of these The correct answer and explanation is : To calculate the efficiency of the assembly [&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-209148","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/209148","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=209148"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/209148\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=209148"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=209148"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=209148"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}