{"id":389,"date":"2017-05-22T20:49:27","date_gmt":"2017-05-23T00:49:27","guid":{"rendered":"http:\/\/www.blogs.euni.org\/?p=389"},"modified":"2017-05-22T20:49:27","modified_gmt":"2017-05-23T00:49:27","slug":"the-ringing-bells","status":"publish","type":"post","link":"https:\/\/www.blogs.euni.org\/?p=389","title":{"rendered":"The Ringing Bells"},"content":{"rendered":"<p>The small village of Bloemenfontein had two churches which were located quite near each other. The bells of the churches rang with different periods, the Church of the Five Trinities ringing every 5\/3 seconds, the Church of the Eleven Pentalphan Saints every 11\/5 seconds.<\/p>\n<p>To summon the members of the congregations for service on Sundays, both churches would sound their bells for 12 minutes precisely at 11 am in the morning.<\/p>\n<p>A peculiar effect with these bells was that every now and then people could only hear one bell ringing, which would confuse members of the congregations, resulting in an equal proportion going to the wrong church.<\/p>\n<p>But this did not matter much, as the preachers of the churches actually were twins and would switch roles every other week or so, thus saving time in writing sermons to give more free time for their hobby of fishing.<\/p>\n<p>The local bicycle shop owner Joop Visser, who was also the mayor of Bloemenfontein, had worked out that when the clappers of the bells struck within an interval of 0.6 seconds of each other, only one bell ring could be heard.<\/p>\n<p>Visser, being a meticulous person, had also counted the number of bell rings with the aid of a sound recorder.<\/p>\n<p>Being a business man, mayor Visser decided to hang up a poster on the large, spreading oak tree in the main plaza of the village.<\/p>\n<p>The poster stated that the first person who could correctly say how many bell rings in total were heard during a period of 12 minutes each Sunday would win a new, red bicycle.<\/p>\n<p>Entry fee for submitting an answer to Visser was ten guilders.<\/p>\n<p>Visser received numerous payments and responses very quickly, but the first correct one was from a young computer nerd.<\/p>\n<p><em>Under these conditions, what would you say is the number of rings heard from these bells sounding on Sunday mornings?<\/em><\/p>\n<p><em>On the average how many congregation members do you figure would wind up at the wrong church on a Sunday?<\/em><\/p>\n<p>&nbsp;<\/p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon sd-sharing\"><h3 class=\"sd-title\">Share this:<\/h3><div class=\"sd-content\"><ul><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-389\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=389&amp;share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Twitter (Opens in new window)<\/span><\/a><\/li><li class=\"share-facebook\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-facebook-389\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=389&amp;share=facebook\" target=\"_blank\" title=\"Click to share on Facebook\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Facebook (Opens in new window)<\/span><\/a><\/li><li class=\"share-linkedin\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-linkedin-389\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=389&amp;share=linkedin\" target=\"_blank\" title=\"Click to share on LinkedIn\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on LinkedIn (Opens in new window)<\/span><\/a><\/li><li class=\"share-jetpack-whatsapp\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-jetpack-whatsapp sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=389&amp;share=jetpack-whatsapp\" target=\"_blank\" title=\"Click to share on WhatsApp\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on WhatsApp (Opens in new window)<\/span><\/a><\/li><li class=\"share-end\"><\/li><\/ul><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>The small village of Bloemenfontein had two churches which were located quite near each other. The bells of the churches rang with different periods, the Church of the Five Trinities ringing every 5\/3 seconds, the Church of the Eleven Pentalphan Saints every 11\/5 seconds. To summon the members of the congregations for service on Sundays, [&hellip;]<\/p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon sd-sharing\"><h3 class=\"sd-title\">Share this:<\/h3><div class=\"sd-content\"><ul><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-389\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=389&amp;share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Twitter (Opens in new window)<\/span><\/a><\/li><li class=\"share-facebook\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-facebook-389\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=389&amp;share=facebook\" target=\"_blank\" title=\"Click to share on Facebook\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Facebook (Opens in new window)<\/span><\/a><\/li><li class=\"share-linkedin\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-linkedin-389\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=389&amp;share=linkedin\" target=\"_blank\" title=\"Click to share on LinkedIn\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on LinkedIn (Opens in new window)<\/span><\/a><\/li><li class=\"share-jetpack-whatsapp\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-jetpack-whatsapp sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=389&amp;share=jetpack-whatsapp\" target=\"_blank\" title=\"Click to share on WhatsApp\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on WhatsApp (Opens in new window)<\/span><\/a><\/li><li class=\"share-end\"><\/li><\/ul><\/div><\/div><\/div>","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false},"categories":[29,108],"tags":[109],"jetpack_featured_media_url":"","jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7zDaf-6h","jetpack-related-posts":[{"id":367,"url":"https:\/\/www.blogs.euni.org\/?p=367","url_meta":{"origin":389,"position":0},"title":"The Seating Arrangement","date":"March 31, 2017","format":false,"excerpt":"A dating club arranges meetings at concerts for its members. The club will buy a certain number of random adjacent concert seats for some male and female members. If a man sits next to a woman, the club considers this a date opportunity. For the coming concert, the club bought\u2026","rel":"","context":"In &quot;Combinations&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":907,"url":"https:\/\/www.blogs.euni.org\/?p=907","url_meta":{"origin":389,"position":1},"title":"The Cannonball Treasure","date":"May 14, 2019","format":false,"excerpt":"\u201cHey Jack, look over there, a small chapel hidden behind those palm trees in the jungle,\u201d said Jill, pointing excitedly, \u201clet\u2019s have a look.\u201d Jack and Jill were enjoying their vacation wandering about on the island of La Gaviota in the Caribbean after having won a two-week all expenses paid\u2026","rel":"","context":"In &quot;Algebra&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":562,"url":"https:\/\/www.blogs.euni.org\/?p=562","url_meta":{"origin":389,"position":2},"title":"Jewelry Shopping","date":"January 27, 2018","format":false,"excerpt":"Miss Frilly Donahue went to do some shopping for jewelry as she wanted to expand her collection. Frilly had just bought a fancy new multi-level jewelry box with a large mirror. Miss Frilly Donahue went to the Kasbah where her attention was caught by the expansive jewelry shop of Mustafa\u2026","rel":"","context":"In &quot;Combinations&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":610,"url":"https:\/\/www.blogs.euni.org\/?p=610","url_meta":{"origin":389,"position":3},"title":"A Berber Family Bus Ride","date":"April 27, 2018","format":false,"excerpt":"In Casablanca, members of the Assaidi Berber family got on a bus for a trip to Safi. The party consisted of men, women and children, twenty in all. The bus driver said they would have to pay 20 dirhams, 3 for men, 2 for women and \u00bd for children. How\u2026","rel":"","context":"In &quot;Algebra&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":436,"url":"https:\/\/www.blogs.euni.org\/?p=436","url_meta":{"origin":389,"position":4},"title":"The Family Ages","date":"August 14, 2017","format":false,"excerpt":"Jack asked Fred \u201cHow old are your family members?\u201d \u201cTen years ago my father was twice my age and my mother\u2019s age was a perfect number,\u201d said Fred. \u201cThat helps with your mother\u2019s age, but I need more information about your father,\u201d said Jack. \u201cNo problem. The square of my\u2026","rel":"","context":"In &quot;Algebra&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":656,"url":"https:\/\/www.blogs.euni.org\/?p=656","url_meta":{"origin":389,"position":5},"title":"The Deck Split","date":"July 29, 2018","format":false,"excerpt":"At the Royal Flush card club one evening, there was a lively discussion among its members about splitting a deck of cards into two equal piles after a thorough shuffle, in which, respectively, there would be exactly ten red cards in one pile and exactly ten black cards in the\u2026","rel":"","context":"In &quot;Number Theory&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/389"}],"collection":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=389"}],"version-history":[{"count":2,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/389\/revisions"}],"predecessor-version":[{"id":391,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/389\/revisions\/391"}],"wp:attachment":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=389"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=389"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=389"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}