{"id":223740,"date":"2025-06-02T09:59:04","date_gmt":"2025-06-02T09:59:04","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=223740"},"modified":"2025-06-02T09:59:06","modified_gmt":"2025-06-02T09:59:06","slug":"answer-the-following-questions","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/02\/answer-the-following-questions\/","title":{"rendered":"Answer the following questions"},"content":{"rendered":"\n

Answer the following questions. Basic conversion facts: SI = 4 quarters, 10 dimes, 20 nickels, 100 pennies. Quarter =
0.10, nickel =
0.01. 1 hr = 60 min, 1 min = 60 s, 1 hr = 3600 s. (hr: hour; min: minute; s: second) 1 km = 1000 m, 1 m = 100 cm. (km: kilometer; m: meter; cm: centimeter) 1 m = 0.001 km, 1 cm = 0.01 m, 1 m = 100 cm. 1 mile = 1609 m, 1 m = 3.3 ft, 1 ft = 12 in, 1 in = 2.54 cm. (ft: foot; in: inch) 1 mile\/hr (1 mph) = 1.609 km\/hr. 1 mile\/hr = 0.447 m\/s. Practice: Car A moves at 6 km\/hr, car B moves at 15 mph. Which car moves at the faster speed? In the US, a car’s speedometer records speed in miles per hour as well as km per hour: 70 miles per hour is equal to how many km per hour; or m\/s? Miles per hour to km per hour: Miles per hour to m\/s:
Answer the following questions. Basic conversion facts: SI = 4 quarters, 10 dimes, 20 nickels, 100 pennies. Quarter =
0.10, nickel =
0.01. 1 hr = 60 min, 1 min = 60 s, 1 hr = 3600 s. (hr: hour; min: minute; s: second) 1 km = 1000 m, 1 m = 100 cm. (km: kilometer; m: meter; cm: centimeter) 1 m = 0.001 km, 1 cm = 0.01 m, 1 m = 100 cm. 1 mile = 1609 m, 1 m = 3.3 ft, 1 ft = 12 in, 1 in = 2.54 cm. (ft: foot; in: inch) 1 mile\/hr (1 mph) = 1.609 km\/hr. 1 mile\/hr = 0.447 m\/s. Practice: Car A moves at 6 km\/hr, car B moves at 15 mph. Which car moves at the faster speed? In the US, a car’s speedometer records speed in miles per hour as well as km per hour: 70 miles per hour is equal to how many km per hour; or m\/s? Miles per hour to km per hour: Miles per hour to m\/s:<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Answers<\/strong><\/p>\n\n\n\n

    \n
  1. Car B (15 mph) is faster<\/strong>.
    15 mph \u2248 24.1 km h\u207b\u00b9, while 6 km h\u207b\u00b9 \u2248 3.7 mph.<\/em><\/li>\n\n\n\n
  2. 70 mph conversions<\/strong>\n
      \n
    • a. 70 mph \u2248 113 km h\u207b\u00b9<\/strong> (precisely 112.6 km h\u207b\u00b9).<\/li>\n\n\n\n
    • b. 70 mph \u2248 31.3 m s\u207b\u00b9<\/strong>.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n
      \n\n\n\n

      Why these are the correct numbers<\/h3>\n\n\n\n

      The key to any unit-conversion problem is the conversion factor<\/em>\u2014a statement that two different numerical values actually represent the same physical quantity. For everyday speed questions involving cars, the two factors that matter most are: 1\u2005\u200amile=1\u2009609\u2005\u200am,1\u2005\u200ahour=3\u2009600\u2005\u200as.1\\;\\text{mile} = 1\\,609\\;\\text{m},\\qquad 1\\;\\text{hour} = 3\\,600\\;\\text{s}.<\/p>\n\n\n\n

      From these we can pre-compute two handy ratios that appear on most science\u2010class \u201ccheat sheets\u201d: 1\u2005\u200amph=1.609\u2005\u200akm h\u22121,1\u2005\u200amph=0.447\u2005\u200am s\u22121.1\\;\\text{mph} = 1.609\\;\\text{km h}^{-1},\\qquad 1\\;\\text{mph} = 0.447\\;\\text{m s}^{-1}.<\/p>\n\n\n\n

      \n\n\n\n

      Question 1<\/h4>\n\n\n\n

      We can compare the two car speeds in either unit system; the trick is to put them in the same<\/em> units before judging.<\/p>\n\n\n\n

      Option A (convert Car B to km h\u207b\u00b9).<\/em> 15\u2005\u200amph\u00d71.609\u2005\u200akm h\u22121mph=24.135\u2005\u200akm h\u22121.15\\;\\text{mph}\\times1.609\\;\\frac{\\text{km h}^{-1}}{\\text{mph}}=24.135\\;\\text{km h}^{-1}.<\/p>\n\n\n\n

      Since 24.1 km h\u207b\u00b9 > 6 km h\u207b\u00b9, Car B is faster.<\/p>\n\n\n\n

      Option B (convert Car A to mph).<\/em> 6\u2005\u200akm h\u22121\u00d711.609\u2005\u200amphkm h\u22121=3.73\u2005\u200amph,6\\;\\text{km h}^{-1}\\times\\frac{1}{1.609}\\;\\frac{\\text{mph}}{\\text{km h}^{-1}}=3.73\\;\\text{mph},<\/p>\n\n\n\n

      again confirming Car B\u2019s greater speed.<\/p>\n\n\n\n

      Either path works because multiplication by 1 in the form of a conversion factor doesn\u2019t change the physical meaning\u2014only the numerical representation.<\/p>\n\n\n\n

      \n\n\n\n

      Question 2<\/h4>\n\n\n\n

      For a dashboard that shows both scales, the same factors turn 70 mph into km h\u207b\u00b9 and m s\u207b\u00b9.<\/p>\n\n\n\n

      Kilometres per hour.<\/em> 70\u2005\u200amph\u00d71.609\u2005\u200akm h\u22121mph=112.63\u2005\u200akm h\u2212170\\;\\text{mph}\\times1.609\\;\\frac{\\text{km h}^{-1}}{\\text{mph}}=112.63\\;\\text{km h}^{-1}<\/p>\n\n\n\n

      (rounded to 113 km h\u207b\u00b9 for everyday driving).<\/p>\n\n\n\n

      Metres per second.<\/em> 70\u2005\u200amph\u00d70.447\u2005\u200am s\u22121mph=31.29\u2005\u200am s\u22121.70\\;\\text{mph}\\times0.447\\;\\frac{\\text{m s}^{-1}}{\\text{mph}}=31.29\\;\\text{m s}^{-1}.<\/p>\n\n\n\n

      Because the conversions involve only multiplication, significant figures track cleanly: two or three significant digits are more than adequate for on-road use.<\/p>\n\n\n\n

      \n\n\n\n

      Take-away techniques<\/h3>\n\n\n\n
        \n
      1. Write the target unit on paper first<\/strong>, then choose the conversion factor that cancels the original unit.<\/li>\n\n\n\n
      2. Chain factors<\/strong> if you don\u2019t have a one-step shortcut (e.g., mph\u2192m s\u207b\u00b9 can be done via mph\u2192km h\u207b\u00b9\u2192m s\u207b\u00b9).<\/li>\n\n\n\n
      3. Keep an eye on magnitude<\/strong>: a speed in m s\u207b\u00b9 will always be a much smaller number than the same speed in km h\u207b\u00b9, which in turn is smaller than in mph. That mental check prevents calculator errors.<\/li>\n<\/ol>\n\n\n\n

        Mastering this simple factor-label method works just as well for currencies, recipes, and physics labs as it does for comparing whose car is quicker!<\/p>\n\n\n\n

        \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

        Answer the following questions. Basic conversion facts: SI = 4 quarters, 10 dimes, 20 nickels, 100 pennies. Quarter =0.10, nickel =0.01. 1 hr = 60 min, 1 min = 60 s, 1 hr = 3600 s. (hr: hour; min: minute; s: second) 1 km = 1000 m, 1 m = 100 cm. (km: kilometer; m: […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","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-5)","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-5)","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-5)","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":[25],"tags":[],"class_list":["post-223740","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223740","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=223740"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223740\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=223740"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=223740"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=223740"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}