{"id":126851,"date":"2021-09-13T17:12:59","date_gmt":"2021-09-13T11:42:59","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=126851"},"modified":"2021-09-13T17:13:02","modified_gmt":"2021-09-13T11:43:02","slug":"rd-sharma-class-10-solutions-chapter-8-exercise-8-12","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-8-exercise-8-12\/","title":{"rendered":"RD Sharma Class 10 Solutions Chapter 8 Quadratic Equations Exercise 8.12 (Updated for 2021-22)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-126890\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-8-Exercise-8.12.jpg\" alt=\"RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-8-Exercise-8.12.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-8-Exercise-8.12-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12:&nbsp;<\/strong>This exercise provides a quick overview of a problem with quadratic equations. Students who want to self-assess might use <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-for-maths\/\"><strong>RD Sharma Class 10 Solutions<\/strong><\/a> to figure out where they fall short. Students can also download the <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-8-quadratic-equations\/\"><strong>RD Sharma Solutions for Class 10 Maths Chapter 8<\/strong><\/a> Exercise 8.12 PDF from the link provided below.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69d7a1be976c0\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-69d7a1be976c0\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-8-exercise-8-12\/#download-rd-sharma-class-10-solutions-chapter-8-exercise-812-free-pdf\" title=\"Download RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12 Free PDF\">Download RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12 Free PDF<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-8-exercise-8-12\/#access-answers-to-rd-sharma-solutions-class-10-maths-chapter-8-exercise-812-important-question-with-answers\" title=\"Access answers to RD Sharma Solutions Class 10 Maths Chapter 8 Exercise 8.12- Important Question with Answers\">Access answers to RD Sharma Solutions Class 10 Maths Chapter 8 Exercise 8.12- Important Question with Answers<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-8-exercise-8-12\/#faqs-on-rd-sharma-class-10-solutions-chapter-8-exercise-812\" title=\"FAQs on RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12\">FAQs on RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-8-exercise-8-12\/#how-is-rd-sharma-class-10-solutions-chapter-8-exercise-812-helpful-for-board-exams\" title=\"How is RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12 helpful for board exams?\">How is RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12 helpful for board exams?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-8-exercise-8-12\/#is-the-rd-sharma-class-10-solutions-chapter-8-exercise-812-available-on-the-kopykitab-website\" title=\"Is the RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12 available on the Kopykitab website?\">Is the RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12 available on the Kopykitab website?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-8-exercise-8-12\/#where-can-i-get-rd-sharma-class-10-solutions-chapter-8-exercise-812-free-pdf\" title=\"Where can I get RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12 Free PDF?\">Where can I get RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12 Free PDF?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-class-10-solutions-chapter-8-exercise-812-free-pdf\"><\/span>Download RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12 Free PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">&nbsp;<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 800px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Solution-Class-10-Chapter-8-Exercise-8.12.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Solution-Class-10-Chapter-8-Exercise-8.12.pdf\">RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12<\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-answers-to-rd-sharma-solutions-class-10-maths-chapter-8-exercise-812-important-question-with-answers\"><\/span>Access answers to RD Sharma Solutions Class 10 Maths Chapter 8 Exercise 8.12- Important Question with Answers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Question 1.<br>A takes 10 days less than the time taken by B to finish a piece of work. If both A and B together can finish the work in 12 days, find the time taken by B to finish the work.<br>Solution:<br>Let B can do the work in = x days<br>A will do the same work in = (x \u2013 10) days<br>A and B both can finish the work in = 12 days<br>According to the condition,<br><img src=\"https:\/\/farm2.staticflickr.com\/1726\/42611127001_92e7952f09_o.png\" alt=\"RD Sharma Class 10 Chapter 8 Quadratic Equations \" width=\"347\" height=\"344\"><br>\u21d2 x (x \u2013 4) \u2013 30 (x \u2013 4) = 0<br>\u21d2 (x \u2013 4) (x \u2013 30) = 0<br>Either x \u2013 4 = 0, then x = 4<br>or x \u2013 30 = 0, then x = 30<br>But x = 4 is not possible<br>B can finish the work in 30 days<\/p>\n<p>Question 2.<br>If two pipes function simultaneously, a reservoir will be filled in 12 hours. One pipe fills the reservoir 10 hours faster than the other. How many hours will the second pipe take to fill the reservoir?<br>Solution:<br>Two pipes can fill the .reservoir in = 12 hours<br>Let the first pipe can fill the reservoir in = x hrs<br>Then the second pipe will fill it in = (x \u2013 10) hours<br>Now according to the condition,<br><img src=\"https:\/\/farm2.staticflickr.com\/1737\/42560862982_160a62cee8_o.png\" alt=\"Quadratic Equations Class 10 RD Sharma \" width=\"175\" height=\"193\"><br>\u21d2 x\u00b2 \u2013 10x = 24x \u2013 120<br>\u21d2 x\u00b2 \u2013 10x \u2013 24x + 120 = 0<br>\u21d2 x\u00b2 \u2013 34x + 120 = 0<br>\u21d2 x\u00b2 \u2013 30x \u2013 4x + 120 = 0<br>\u21d2 x (x \u2013 30) \u2013 4 (x \u2013 30) = 0<br>\u21d2 (x \u2013 30) (x \u2013 4) = 0<br>Either x \u2013 30 = 0, then x = 30<br>or x \u2013 4 = 0 but it is not possible as it is &lt; 10<br>The second pipe will fill the reservoir in = x \u2013 10 = 30 \u2013 10 = 20 hours<\/p>\n<p>Question 3.<br>Two water taps together can fill a tank in 938 hours. The tap of a larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.<br>Solution:<br>Two taps can fill the tank in = 938&nbsp;=&nbsp;758&nbsp;hr<br>Let smaller tap fill the tank in = x hours<br>Then larger tap will fill it in = (x \u2013 10) hours<br>According to the condition,<br><img src=\"https:\/\/farm2.staticflickr.com\/1750\/42560863732_3be01bc740_o.png\" alt=\"RD Sharma Class 10 Solutions Quadratic Equations \" width=\"249\" height=\"284\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1755\/42560863232_166841abd0_o.png\" alt=\"RD Sharma Class 10 Solutions Quadratic Equations Ex 8.12 \" width=\"359\" height=\"300\"><br>Smaller tap can fill the tank in = 25 hours<br>and larger tap can fill the tank in = 25 \u2013 10 = 15 hours<\/p>\n<p>Question 4.<br>Tw o pipes running together can fill a tank in 1119&nbsp;minutes. If one pipe takes 5 minutes more than the other to fill the tank separately, find the time in which each pipe would fill the tank separately. [CBSE 2010]<br>Solution:RD Sharma Class 10 Solutions Chapter 8 Quadratic Equations<br>\u201d width=\u201d374\u2033 height=\u201d454\u2033 \/&gt;<br>\u21d2 9x (x \u2013 20) + 25 (x \u2013 20) = 0<br>\u21d2 (x \u2013 20) (9x + 25) = 0<br>Either x = \u2013 20 = 0, then x = 20 or 9x + 25 = 0 then 9x = -25<br>\u21d2 x =&nbsp;\u2212259&nbsp;but it is not possible being negative<br>x = 20<br>Time taken by the two pipes = 20 minutes and 20 + 5 = 25 minutes<\/p>\n<p>Question 5.<br>To fill a swimming pool two pipes are used. If the pipe of larger diameter used for 4 hours and the pipe of smaller diameter for 9 hours, only half of the pool can be filled. Find, how long it would take for each pipe to fill the pool separately if the pipe of smaller diameter takes 10 hours more than the pipe of larger diameter to fill the pool? [CBSE 2015]<br>Solution:<br>Let pipe of larger diameter can fill the tank = x hrs<br>and pipe of smaller diameter can fill in = y hrs<br><img src=\"https:\/\/farm2.staticflickr.com\/1756\/27743008117_4693fd59fa_o.png\" alt=\"RD Sharma Class 10 Pdf Chapter 8 Quadratic Equations \" width=\"348\" height=\"221\"><br>\u21d2 26x + 80 = x\u00b2 + 10x<br>\u21d2 x\u00b2 + 10x \u2013 26x \u2013 80 = 0<br>\u21d2 x\u00b2 \u2013 16x \u2013 80 = 0<br>\u21d2 x\u00b2 \u2013 20x + 4x \u2013 80 = 0<br>\u21d2 x (x \u2013 20) + 4 (x \u2013 20) = 0<br>\u21d2 (x \u2013 20) (x + 4) = 0<br>Either x \u2013 20 = 0, then x = 20<br>or x + 4 = 0, then x = \u2013 4 which is not possible<br>x = 20 and y = 10 + x = 10 + 20 = 30<br>A larger pipe can fill the tank in 20 hours and a smaller pipe can fill in 30 hours.<\/p>\n<p>We have provided complete details of RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12. If you have any queries related to <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE<\/strong><\/a>&nbsp;Class 10, feel free to ask us in the comment section below.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-class-10-solutions-chapter-8-exercise-812\"><\/span>FAQs on RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1631526020614\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-is-rd-sharma-class-10-solutions-chapter-8-exercise-812-helpful-for-board-exams\"><\/span>How is RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12 helpful for board exams?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>For self-evaluation, RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12 provides solutions with thorough descriptions as per term limits specified by the Board. Students will gain valuable experience solving these problems, allowing them to complete the assignment on time.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631526326313\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-the-rd-sharma-class-10-solutions-chapter-8-exercise-812-available-on-the-kopykitab-website\"><\/span>Is the RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12 available on the Kopykitab website?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, the PDFs of RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12 are available. These solutions are created in a unique method by Kopykitab\u2019s expert faculty.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631526521887\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-get-rd-sharma-class-10-solutions-chapter-8-exercise-812-free-pdf\"><\/span>Where can I get RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12 Free PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can get RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12 Free PDF from the above article.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Class 10 Solutions Chapter 8 Exercise 8.12:&nbsp;This exercise provides a quick overview of a problem with quadratic equations. Students who want to self-assess might use RD Sharma Class 10 Solutions to figure out where they fall short. Students can also download the RD Sharma Solutions for Class 10 Maths Chapter 8 Exercise 8.12 &#8230; <a title=\"RD Sharma Class 10 Solutions Chapter 8 Quadratic Equations Exercise 8.12 (Updated for 2021-22)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-8-exercise-8-12\/\" aria-label=\"More on RD Sharma Class 10 Solutions Chapter 8 Quadratic Equations Exercise 8.12 (Updated for 2021-22)\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":126890,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411,2985,73410],"tags":[3243,9206,73520,4388],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/126851"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/238"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=126851"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/126851\/revisions"}],"predecessor-version":[{"id":127107,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/126851\/revisions\/127107"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/126890"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=126851"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=126851"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=126851"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}