{"id":163552,"date":"2024-03-05T17:00:59","date_gmt":"2024-03-05T11:30:59","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=163552"},"modified":"2024-03-05T17:01:01","modified_gmt":"2024-03-05T11:31:01","slug":"pipes-a-and-b-can-fill-a-tank-in-20-hours-and-30-hours-respectively-while-pipe-c-can-empty-the-full-tank-in-40-hours","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/pipes-a-and-b-can-fill-a-tank-in-20-hours-and-30-hours-respectively-while-pipe-c-can-empty-the-full-tank-in-40-hours\/","title":{"rendered":"Pipes A and B can fill a tank in 20 hours and 30 hours respectively while pipe C can empty the full tank in 40 hours"},"content":{"rendered":"\n

<\/p>Pipes A and B can fill a tank in 20 hours and 30 hours respectively while pipe C can empty the full tank in 40 hours. All are opened together, after 12 hours, pipe C closed. Find the time taken to fill the whole tank?<\/span>

A.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 16 hours 24 mins<\/p>

B.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 14 hours 48 mins<\/p>

C.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 15 hours 36 mins<\/b><\/p>

D.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 13 hours 40 mins<\/p>

E.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 None of these<\/p>

Sol:<\/p>

Total units = LCM (20, 30 and 40) = 120 units <\/p>

Pipe A can fill = 6 units\/hr <\/p>

Pipe B can fill = 4 units\/hr <\/p>

Pipe C can empty = 3 units\/hr <\/p>

1 hour work = 6 + 4 \u2013 3 = 7 units\/hr <\/p>

12 hour work = 7 * 12 = 84 units\/hr <\/p>

Remaining work = 120 \u2013 84 = 36 units <\/p>

Remaining tank can be filled by pipe A and B in, <\/p>

= > 36 \/ (6 + 4) = 3 3\/5 hour <\/p>

Total time taken by fill the tank<\/p>

= > 12 + 3 3\/5 = 15 3\/5 hour (or) = 15 hours 36 mins<\/p> <\/p>\n","protected":false},"excerpt":{"rendered":"

Pipes A and B can fill a tank in 20 hours and 30 hours respectively while pipe C can empty the full tank in 40 hours. All are opened together, after 12 hours, pipe C closed. Find the time taken to fill the whole tank? A.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 16 hours 24 mins B.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 14 hours 48 mins […]<\/p>\n","protected":false},"author":419,"featured_media":163553,"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-163552","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\/163552","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=163552"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163552\/revisions"}],"predecessor-version":[{"id":163554,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163552\/revisions\/163554"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/163553"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=163552"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=163552"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=163552"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}