{"id":159892,"date":"2023-09-18T15:01:43","date_gmt":"2023-09-18T09:31:43","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=159892"},"modified":"2023-09-18T15:01:44","modified_gmt":"2023-09-18T09:31:44","slug":"a-faulty-wall-clock-is-known-to-gain-15-minutes-every-24-hours-it-is-synchronized-to-the-correct-time-at-9-am-on-11th-july","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-faulty-wall-clock-is-known-to-gain-15-minutes-every-24-hours-it-is-synchronized-to-the-correct-time-at-9-am-on-11th-july\/","title":{"rendered":"A faulty wall clock is known to gain 15 minutes every 24 hours. It is synchronized to the correct time at 9 AM on 11th July"},"content":{"rendered":"\n<p>Q. A faulty wall clock is known to gain 15 minutes every 24 hours. It is synchronized to the correct time at 9 AM on 11<sup>th<\/sup> July. What will be the correct time to the nearest minute when the clock shows 2 PM on 15<sup>th<\/sup> July of the same year?<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>(A) 12:45 PM<\/td><td>(B) 12:58 PM<\/td><td>(C) 1:00 PM<\/td><td>(D) 2:00 PM<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Ans: 12:58 PM<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>Minutes gained in every 24 hours = 15 = 0.25 hour <\/p>\n\n\n\n<p>\u21d2 every 1 hour, 1\/96 hours are gained. <\/p>\n\n\n\n<p>When the clock shows 2 PM on 15th July of the same year, let&#8217;s assume x hours are spent in an error-free clock. <\/p>\n\n\n\n<p>So for x hours, the gain will be x\/96 = 0.0104x <\/p>\n\n\n\n<p>So, the total time gone in the faulty clock will be x + 0.0104x = 1.0104x <\/p>\n\n\n\n<p>The total time spent on the faulty clock is given by\u00a0\u00a0 <\/p>\n\n\n\n<p>No. of hours between 9 AM on 11th July and 2 PM on 15th July = 24\u00a0\u00d7 4 + 5 = 101 <\/p>\n\n\n\n<p>Now, equating both <\/p>\n\n\n\n<p>1.0104x = 101\u00a0\u21d2 x = 99.96 hours <\/p>\n\n\n\n<p>So the correct time spent is 99.96 hours = 4 days + 3 + 0.96\u00a0hours <\/p>\n\n\n\n<p>\u21d2 4 days + 3 hrs + 57.62 min <\/p>\n\n\n\n<p>Calculating from 9 AM, 11th July, the correct time to the nearest minute = approximately 12.58 PM.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. A faulty wall clock is known to gain 15 minutes every 24 hours. It is synchronized to the correct time at 9 AM on 11th July. What will be the correct time to the nearest minute when the clock shows 2 PM on 15th July of the same year? (A) 12:45 PM (B) 12:58 [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":159893,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5141],"tags":[5140],"offerexpiration":[],"class_list":["post-159892","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/159892","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=159892"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/159892\/revisions"}],"predecessor-version":[{"id":159894,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/159892\/revisions\/159894"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/159893"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=159892"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=159892"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=159892"},{"taxonomy":"offerexpiration","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/offerexpiration?post=159892"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}