Q. The distance between Y to Z is \u2018m’ km. And the distance between X to Y is \u2018m+56\u2019 km. Boat A travels downstream from point X to Y and Boat B travels upstream from Y to Z. The speed of boat A in still water is 20\u2105 of \u2018m’ and its equal to the upstream speed of boat B. Boat A travels downstream and it takes 20 minutes more time than the Boat B travels in Upstream. What is the distance between Y and Z, if the speed of the current is the same in both cases that is 8 km\/hr?<\/p>\n\n\n\n
A. 150 km<\/p>\n\n\n\n
B. 224 km<\/p>\n\n\n\n
C. 200 km<\/strong><\/p>\n\n\n\n D. 194 km<\/p>\n\n\n\n E. None of these<\/p>\n\n\n\n Sol:<\/p>\n\n\n\n The speed of boat A in still water = 20\/100 of m<\/p>\n\n\n\n => 0.2 m km\/hr<\/p>\n\n\n\n Speed of the current = 8 km\/hr<\/p>\n\n\n\n Downstream speed of boat A = (0.2m + 8) km\/hr<\/p>\n\n\n\n Boat A in still water = upstream speed of boat B<\/p>\n\n\n\n => 0.2m<\/p>\n\n\n\n So, upstream speed of boat B = 0.2m km\/hr<\/p>\n\n\n\n m+56\/0.2m+8 – m\/0.2m = 1\/3<\/p>\n\n\n\n m+56\/0.2m+8 = 16\/3<\/p>\n\n\n\n 3m + 168 = 3.2m + 128<\/p>\n\n\n\n 0.2m = 40<\/p>\n\n\n\n m = 200<\/p>\n\n\n\n So, Distance between Y and Z = 200 km<\/p>\n","protected":false},"excerpt":{"rendered":" Q. The distance between Y to Z is \u2018m’ km. And the distance between X to Y is \u2018m+56\u2019 km. Boat A travels downstream from point X to Y and Boat B travels upstream from Y to Z. The speed of boat A in still water is 20\u2105 of \u2018m’ and its equal to the […]<\/p>\n","protected":false},"author":419,"featured_media":162937,"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-162936","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\/162936","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=162936"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162936\/revisions"}],"predecessor-version":[{"id":162938,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162936\/revisions\/162938"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/162937"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=162936"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=162936"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=162936"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}