A gardener can care for the Green’s property in 5 hours. If his helper assists him, they can complete the job in 4 hours. How long will it take the helper to do the job?<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n This is a work-rate problem<\/strong>, which can be solved using the formula: Work=Rate\u00d7Time\\text{Work} = \\text{Rate} \\times \\text{Time}<\/p>\n\n\n\n We assume the total job (caring for the Green’s property) is 1 complete job<\/strong>.<\/p>\n\n\n\n Gardener\u2019s rate+Helper\u2019s rate=Combined rate\\text{Gardener\u2019s rate} + \\text{Helper\u2019s rate} = \\text{Combined rate} 15+1x=14\\frac{1}{5} + \\frac{1}{x} = \\frac{1}{4}<\/p>\n\n\n\n Subtract 15\\frac{1}{5} from both sides: 1x=14\u221215\\frac{1}{x} = \\frac{1}{4} – \\frac{1}{5}<\/p>\n\n\n\n Find a common denominator: 14\u221215=5\u2212420=120\\frac{1}{4} – \\frac{1}{5} = \\frac{5 – 4}{20} = \\frac{1}{20}<\/p>\n\n\n\n So, 1x=120\u21d2x=20\\frac{1}{x} = \\frac{1}{20} \\Rightarrow x = 20<\/p>\n\n\n\n The helper can do the job alone in 20 hours.<\/strong><\/p>\n\n\n\n This problem uses the idea that when people work together, their rates add up<\/strong>. The gardener does part of the job per hour, and so does the helper. Adding those parts gives you the full job done in less time. By isolating the helper\u2019s rate, we can find how long it would take him on his own<\/strong> to complete the entire task.<\/p>\n\n\n\n This concept is commonly tested in math for teamwork, time management, and efficiency modeling.<\/p>\n","protected":false},"excerpt":{"rendered":" A gardener can care for the Green’s property in 5 hours. If his helper assists him, they can complete the job in 4 hours. How long will it take the helper to do the job? The correct answer and explanation is: \u2705 Correct Answer: 20 hours \ud83e\udde0 Explanation: This is a work-rate problem, which can […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-22303","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/22303","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=22303"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/22303\/revisions"}],"predecessor-version":[{"id":22304,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/22303\/revisions\/22304"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=22303"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=22303"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=22303"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\u2705 Correct Answer: 20 hours<\/strong><\/h3>\n\n\n\n
\n\n\n\n\ud83e\udde0 Explanation:<\/h3>\n\n\n\n
\n\n\n\nStep 1: Define variables<\/h3>\n\n\n\n
\n
\n\n\n\nStep 2: Set up the equation<\/h3>\n\n\n\n
\n\n\n\nStep 3: Solve the equation<\/h3>\n\n\n\n
\n\n\n\n\u2705 Final Answer:<\/h3>\n\n\n\n
\n\n\n\n\ud83d\udcda Why this works:<\/h3>\n\n\n\n