{"id":163953,"date":"2024-03-09T15:13:41","date_gmt":"2024-03-09T09:43:41","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=163953"},"modified":"2024-03-09T15:13:44","modified_gmt":"2024-03-09T09:43:44","slug":"a-and-b-can-do-a-job-in-12-days-and-b-and-c-can-do-it-in-16-days-a-and-b-started-working-without-c-a-worked-for-5-days","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-and-b-can-do-a-job-in-12-days-and-b-and-c-can-do-it-in-16-days-a-and-b-started-working-without-c-a-worked-for-5-days\/","title":{"rendered":"A and B can do a job in 12 days and B and C can do it in 16 days. A and B started working, without C. A worked for 5 days"},"content":{"rendered":"\n<p> <p class=\"MsoNormal\">A and B can do a job in 12 days and B and C can do it in 16 days. A and B started working, without C. A worked for 5 days and quit. B worked for 7 days and quit. C worked for a total of 13 days and finished the work. In how many days can C do the work alone?<\/p> <p class=\"MsoListParagraphCxSpFirst\" style=\"text-indent:-.25in;mso-list:l0 level1 lfo1\">A.<span style=\"font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-variant-position: normal; font-stretch: normal; font-size: 7pt; line-height: normal; font-family: &quot;Times New Roman&quot;;\">\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span>12 days<\/p> <p class=\"MsoListParagraphCxSpMiddle\" style=\"text-indent:-.25in;mso-list:l0 level1 lfo1\"><b>B.<span style=\"font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-variant-position: normal; font-weight: normal; font-stretch: normal; font-size: 7pt; line-height: normal; font-family: &quot;Times New Roman&quot;;\">\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/b><b>24 days<\/b><\/p> <p class=\"MsoListParagraphCxSpMiddle\" style=\"text-indent:-.25in;mso-list:l0 level1 lfo1\">C.<span style=\"font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-variant-position: normal; font-stretch: normal; font-size: 7pt; line-height: normal; font-family: &quot;Times New Roman&quot;;\">\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span>27 days<\/p> <p class=\"MsoListParagraphCxSpLast\" style=\"text-indent:-.25in;mso-list:l0 level1 lfo1\">D.<span style=\"font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-variant-position: normal; font-stretch: normal; font-size: 7pt; line-height: normal; font-family: &quot;Times New Roman&quot;;\">\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span>29 days<\/p> <p class=\"MsoNormal\">Sol:<\/p> <p class=\"MsoNormal\">The number of days taken by A, B &amp; C is as follows.\u00a0 <\/p> <p class=\"MsoNormal\">(A + B) = 12 days\u00a0\u00a0 <\/p> <p class=\"MsoNormal\">(B + C) = 16 days<\/p> <p class=\"MsoNormal\">Let the total work be the LCM of the number of days taken by three of them i.e. 48 units<\/p> <\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"616\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-10-1024x616.png\" alt=\"\" class=\"wp-image-163954\" style=\"width:230px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-10-1024x616.png 1024w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-10-300x180.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-10-768x462.png 768w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-10-1536x924.png 1536w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-10-2048x1232.png 2048w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-10-249x150.png 249w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-10-100x60.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-10-582x350.png 582w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-10-788x474.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-10.png 369w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>According to the question:&nbsp;&nbsp;<\/p>\n\n\n\n<p>A and B worked together for 5&nbsp;days and did (4&nbsp;\u00d7 5) 20 units of work.&nbsp;&nbsp;<\/p>\n\n\n\n<p>B and C worked together for 2 days and did (2&nbsp;\u00d7 3) 6 units of work&nbsp;&nbsp;<\/p>\n\n\n\n<p>C finished the remaining work of (48 &#8211; 20 &#8211; 6) 22&nbsp;units in days (13 &#8211; 2) 11 days.&nbsp;&nbsp;<\/p>\n\n\n\n<p>Hence, Efficiency of C = 22 units \/ 11 days = 2 units&nbsp;&nbsp;<\/p>\n\n\n\n<p>So, No of days taken by C to do the whole job alone = 48\/ 2&nbsp;&nbsp;<\/p>\n\n\n\n<p>\u2234&nbsp;24 days<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A and B can do a job in 12 days and B and C can do it in 16 days. A and B started working, without C. A worked for 5 days and quit. B worked for 7 days and quit. C worked for a total of 13 days and finished the work. In how [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":163955,"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":[5138],"tags":[5139],"class_list":["post-163953","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163953","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=163953"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163953\/revisions"}],"predecessor-version":[{"id":163956,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163953\/revisions\/163956"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/163955"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=163953"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=163953"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=163953"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}