Q. A alone completes the work in 24 days and B alone completes the work in 36 days and the efficiency of C is 75% of the efficiency of A. If A, B and C started the work alternatively, Starts with A, then B and then C and so on, then in how many days the work will be completed?<\/p>\n\n\n\n
a) 12(7\/9) days<\/p>\n\n\n\n
b) 9(7\/9) days<\/p>\n\n\n\n
c) 10(7\/9) days<\/p>\n\n\n\n
d) 29(7\/9) days<\/strong><\/p>\n\n\n\n e) None of these<\/p>\n\n\n\n Sol:<\/p>\n\n\n\n A = 1\/24<\/p>\n\n\n\n B = 1\/36<\/p>\n\n\n\n C = 24 * 100\/75 = 32<\/p>\n\n\n\n LCM of 24, 36 and 32 = 288<\/p>\n\n\n\n A alone completes the work in a day = 288\/24 =<\/p>\n\n\n\n 12 units<\/p>\n\n\n\n B alone completes the work in a day = 288\/36 =<\/p>\n\n\n\n 8 units<\/p>\n\n\n\n C alone completes the work in a day = 288\/32 =<\/p>\n\n\n\n 9 units<\/p>\n\n\n\n First three days (12 + 8 + 9) units of work are<\/p>\n\n\n\n completed.<\/p>\n\n\n\n After 9 days = 29 * 9 = 261 units completed<\/p>\n\n\n\n 29th day = 261 + 20 = 281 units completed<\/p>\n\n\n\n Required time = 29 (7\/9) days<\/p>\n","protected":false},"excerpt":{"rendered":" Q. A alone completes the work in 24 days and B alone completes the work in 36 days and the efficiency of C is 75% of the efficiency of A. If A, B and C started the work alternatively, Starts with A, then B and then C and so on, then in how many days […]<\/p>\n","protected":false},"author":419,"featured_media":163177,"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-163176","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\/163176","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=163176"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163176\/revisions"}],"predecessor-version":[{"id":163178,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163176\/revisions\/163178"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/163177"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=163176"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=163176"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=163176"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}