{"id":20069,"date":"2017-02-13T17:55:38","date_gmt":"2017-02-13T17:55:38","guid":{"rendered":"http:\/\/www.oracletutoring.ca\/blog\/?p=20069"},"modified":"2017-02-13T17:59:27","modified_gmt":"2017-02-13T17:59:27","slug":"math-a-word-problem-about-lawn-mowing","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/math-a-word-problem-about-lawn-mowing\/","title":{"rendered":"Math:  a word problem about lawn mowing"},"content":{"rendered":"<h1>The tutor contemplates shifting gears from snow shoveling to lawn mowing.<\/h1>\n<p>Let&#8217;s imagine a lawn 25mx25m, so its area is 625m<sup>2<\/sup>, and that the mower covers 0.15m<sup>2<\/sup> every second.  At what second during the procedure will the mower cover 1% or the remaining unmown lawn?<\/p>\n<p>Solution:<\/p>\n<p>Assume the mowing begins at 0s.  The remaining unmown lawn at time t is 625 &#8211; 0.15t; one percent will be 0.01(625 &#8211; 0.15t).  Since the mower covers 0.15 m<sup>2<\/sup> every second, we have<\/p>\n<p style=\"text-align:center\">0.15 = 0.01(625 &#8211; 0.15t)<\/p>\n<p style=\"text-align:center\">0.15 = 6.25 &#8211; 0.0015t<\/p>\n<p>Subtracting 6.25 from both sides gives<\/p>\n<p style=\"text-align:center\">-6.1 = -0.0015t<\/p>\n<p>Finally, dividing both sides by -0.0015 yields<\/p>\n<p>4067 = t<\/p>\n<p>At 4067s, 1% of the remaining lawn will be covered that second.<\/p>\n<p>My lawn mower is a push one; it doesn&#8217;t have gears:)<\/p>\n<p>Jack of <a href=\"https:\/\/www.oracletutoring.ca\">Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The tutor contemplates shifting gears from snow shoveling to lawn mowing. Let&#8217;s imagine a lawn 25mx25m, so its area is 625m2, and that the mower covers 0.15m2 every second. At what second during the procedure will the mower cover 1% &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/www.oracletutoring.ca\/blog\/math-a-word-problem-about-lawn-mowing\/\"> <span class=\"screen-reader-text\">Math:  a word problem about lawn mowing<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[181,3],"tags":[539],"class_list":["post-20069","post","type-post","status-publish","format-standard","hentry","category-lifestyle","category-math","tag-lawn-mowing"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/20069","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/comments?post=20069"}],"version-history":[{"count":7,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/20069\/revisions"}],"predecessor-version":[{"id":20076,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/20069\/revisions\/20076"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=20069"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=20069"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=20069"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}