Priya starts from A at 7.00 AM and reaches B at 10.00 PM. If Priya increased her speed by 10 km\/hr, she would have reached B in 2.5 hours earlier. Find the time taken by Priya to cover a distance that is 250 km less than the distance between A and B with her initial speed.<\/p>\n\n\n\n
a) 7.5 hours<\/p>\n\n\n\n
b) 10 hours<\/strong><\/p>\n\n\n\n c) 12 hours<\/p>\n\n\n\n d) None of these<\/p>\n\n\n\n Sol:<\/p>\n\n\n\n Let Distance between A and B = x km<\/p>\n\n\n\n Let Original speed of Priya = y km\/hr<\/p>\n\n\n\n Then Increased speed of Priya = (y + 10) km\/hr<\/p>\n\n\n\n Original time taken by Priya to cover the distance<\/p>\n\n\n\n between A and B = 7.00 AM \u2013 10.00 PM = 15<\/p>\n\n\n\n hours<\/p>\n\n\n\n x\/15 = y<\/p>\n\n\n\n x = 15y —- (1)<\/p>\n\n\n\n x\/(y + 10) = 15 \u2013 2.5<\/p>\n\n\n\n x\/(y + 10) = 12.5 —- (2)<\/p>\n\n\n\n From (1) and (2),<\/p>\n\n\n\n 15y = 12.5y + 125<\/p>\n\n\n\n 2.5y = 125<\/p>\n\n\n\n y = 50 km\/hr<\/p>\n\n\n\n x = 15 * 50 = 750 km<\/p>\n\n\n\n Required time taken = (750 \u2013 250)\/50 = 500\/50 =<\/p>\n\n\n\n 10 hours<\/p>\n","protected":false},"excerpt":{"rendered":" Priya starts from A at 7.00 AM and reaches B at 10.00 PM. If Priya increased her speed by 10 km\/hr, she would have reached B in 2.5 hours earlier. Find the time taken by Priya to cover a distance that is 250 km less than the distance between A and B with her initial […]<\/p>\n","protected":false},"author":419,"featured_media":163315,"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-163314","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\/163314","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=163314"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163314\/revisions"}],"predecessor-version":[{"id":163316,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163314\/revisions\/163316"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/163315"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=163314"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=163314"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=163314"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}