{"id":224395,"date":"2025-06-03T05:22:14","date_gmt":"2025-06-03T05:22:14","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=224395"},"modified":"2025-06-03T05:22:16","modified_gmt":"2025-06-03T05:22:16","slug":"10-painters-can-paint-a-building-in-16-hours-but-because-of-bad-weather-only-eight-painters-arrive","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/03\/10-painters-can-paint-a-building-in-16-hours-but-because-of-bad-weather-only-eight-painters-arrive\/","title":{"rendered":"10 painters can paint a building in 16 hours, but because of bad weather only eight painters arrive"},"content":{"rendered":"\n

10 painters can paint a building in 16 hours, but because of bad weather only eight painters arrive. How long will it take them to paint the building?<\/p>\n\n\n\n

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

Correct Answer: 20 hours<\/strong><\/p>\n\n\n\n

\n\n\n\n

To solve this problem, we use the concept of work<\/strong> and how it’s distributed among workers. In this case, the “work” is painting the building.<\/p>\n\n\n\n

Step-by-step Explanation:<\/h3>\n\n\n\n

We are told that:<\/p>\n\n\n\n

    \n
  • 10 painters<\/strong> can paint a building in 16 hours<\/strong>.<\/li>\n<\/ul>\n\n\n\n

    This means that 10 painters \u00d7 16 hours = 160 painter-hours<\/strong> are required to complete the job.
    This is the total amount of work needed: 160 painter-hours<\/strong>.<\/p>\n\n\n\n

    Now, due to bad weather, only 8 painters<\/strong> arrive.<\/p>\n\n\n\n

    Let\u2019s calculate how long it will take 8 painters<\/strong> to do 160 painter-hours<\/strong> of work.<\/p>\n\n\n\n

    Let xx be the number of hours needed for 8 painters to complete the job.<\/p>\n\n\n\n

    We set up the equation: 8 painters\u00d7x hours=160 painter-hours8 \\text{ painters} \\times x \\text{ hours} = 160 \\text{ painter-hours}<\/p>\n\n\n\n

    Solving for xx: x=1608=20 hoursx = \\frac{160}{8} = 20 \\text{ hours}<\/p>\n\n\n\n

    \n\n\n\n

    Why This Makes Sense:<\/h3>\n\n\n\n

    Work problems like this are based on the idea that work = number of workers \u00d7 time<\/strong> (assuming constant work rate and efficiency). If fewer people do the job, it naturally takes more time.<\/p>\n\n\n\n

    Originally, 10 painters spread the workload over 16 hours. When only 8 show up, the same work (painting the whole building) must now be done by fewer people, so it takes longer.<\/p>\n\n\n\n

    Think of it like this: If 10 people can finish a task in a day, removing 2 people (a 20% reduction) means each of the remaining workers must do more. Since the amount of work is the same, the time needed increases proportionally.<\/p>\n\n\n\n

    So, with 8 painters instead of 10, it takes 20 hours<\/strong> instead of 16 to complete the building.<\/p>\n\n\n\n

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

    10 painters can paint a building in 16 hours, but because of bad weather only eight painters arrive. How long will it take them to paint the building? The Correct Answer and Explanation is: Correct Answer: 20 hours To solve this problem, we use the concept of work and how it’s distributed among workers. 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-224395","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/224395","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=224395"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/224395\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=224395"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=224395"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=224395"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}