[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-631454-105":59,"doc-detail-631454-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","frazers-wall-challenge-2-math-word-problem","Frazer's Wall Challenge 2 - Math Word Problem","","This document presents a mathematical word problem titled Frazer's Wall Challenge 2, which requires calculating the time taken to build a wall using a specific number of bricks under varying conditions. The challenge features two characters, Frazer and Captain Salamander, each with different brick-laying patterns. Frazer lays a decreasing fraction of bricks each day, while Captain Salamander lays a decreasing fixed amount. The document includes the problem statement, a detailed comparison table, and step-by-step solutions for both scenarios, demonstrating how to track cumulative totals to determine who completes their wall first. It serves as an educational exercise for practicing arithmetic, pattern recognition, and multi-step problem-solving in a real-world application context.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/frazers-wall-challenge-2-math-word-problem/631454/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/frazers-wall-challenge-2-math-word-problem/631454.png","ImageObject",300,407,{"name":92,"@type":93},"Olivia Brown","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How many bricks does Frazer lay on the second day?","Question",{"text":112,"@type":113},"Frazer lays 162 bricks on the second day, which is two-thirds of the 243 bricks he laid on the first day.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Who completes their 650-brick wall first?",{"text":117,"@type":113},"Captain Salamander completes his wall first, taking 5 days, while it takes Frazer 6 days to finish his.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the pattern of brick-laying for Captain Salamander?",{"text":121,"@type":113},"Captain Salamander starts by laying 180 bricks on the first day and lays 22 fewer bricks each subsequent day.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},631454,1792856289,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":24},16904993612988,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","FRAZER’S WALL CHALLENGE 2  \nFrazer spent some time building a wall with 650 bricks in.  \nOn the first day, he managed to lay 243 bricks.  \nHe got more and more tired each day, and only managed to lay 3 of the number of bricks as the day before.  \nHow many days did it take him to build the wall?  \nCaptain Salamander is also building a wall with 650 bricks in it.  \nOn the first day, he manages to lay 180 bricks.  \nHe also gets more tired each day, and lays 22 fewer bricks than the day before. Who builds their wall first?  \nFRAZER’S WALL CHALLENGE 2 ANSWERS  \nFrazer spent some time building a wall with 650 bricks in.  \nOn the first day, he managed to lay 243 bricks.  \nHe got more and more tired each day, and only managed to lay 3 of the number of bricks asthe day before.  \nHow many days did it take him to build the wall?  \nIt would take Frazer 6 days to build the wall.  \n\n| DAY | FRAZER BRICKS LAYED | FRAZER TOTAL NUMBER | CAPTAIN BRICKS LAYED | CAPTAIN\u003Cbr>TOTAL\u003Cbr>NUMBER |\n| --- | --- | --- | --- | --- |\n| 1 | 243 | 243 | 180 | 180 |\n| 2 | 162 | 405 | 158 | 338 |\n| 3 | 108 | 513 | 136 | 474 |\n| 4 | 72 | 585 | 114 | 588 |\n| 5 | 48 | 633 | 92 | 680 |\n| 6 | 32 | 665 | 70 |  |\n\nCaptain Salamander is also building a wall with 650 bricks in it.  \nOn the first day, he manages to lay 180 bricks.  \nHe also gets more tired each day, and lays 22 fewer bricks than the day before. Who builds  \ntheir wall first?  \nCaptain Salamander would only take 5 days to build his wall, so he would be first.","cbCailofdb8q6FHz","https://ap.wps.com/l/cbCailofdb8q6FHz","pdf",248905,"English","# Frazer's Wall Challenge 2 Problem\n## Captain Salamander's Challenge\n# Solutions and Data Table","[{\"question\":\"How many bricks does Frazer lay on the second day?\",\"answer\":\"Frazer lays 162 bricks on the second day, which is two-thirds of the 243 bricks he laid on the first day.\"},{\"question\":\"Who completes their 650-brick wall first?\",\"answer\":\"Captain Salamander completes his wall first, taking 5 days, while it takes Frazer 6 days to finish his.\"},{\"question\":\"What is the pattern of brick-laying for Captain Salamander?\",\"answer\":\"Captain Salamander starts by laying 180 bricks on the first day and lays 22 fewer bricks each subsequent day.\"}]","Frazer's Wall Challenge 2 - Math Word Problem | PDF",1792669113]