{"id":2224,"date":"2025-05-09T18:06:36","date_gmt":"2025-05-09T12:36:36","guid":{"rendered":"https:\/\/leverageedu.com\/questions-answers\/?p=2224"},"modified":"2025-05-09T18:06:39","modified_gmt":"2025-05-09T12:36:39","slug":"a-steamer-going-downstream-in-a-river-covers-the-distance","status":"publish","type":"post","link":"https:\/\/leverageedu.com\/questions-answers\/a-steamer-going-downstream-in-a-river-covers-the-distance\/","title":{"rendered":"A steamer, going downstream in a river, covers the distance between two towns in 20 hours. Coming back upstream, it covers this distance in 25 hours. The speed of water is 4km\/h. Find the distance between the two towns."},"content":{"rendered":"\n<p><strong>Answer: <\/strong>We are given the speed of water (4 km\/h) and the time taken by the steamer to travel downstream (20 hours) and upstream (25 hours). To find the distance between the two towns, we first assume the speed of the boat in still water to be <em>x km\/h<\/em>. This makes the downstream speed <em>(x+4) km\/h<\/em> and the upstream speed <em>(x\u22124) km\/h<\/em>. Using the formula <em>Distance = Speed \u00d7 Time<\/em>, we get two equations: <em>distance = (x+4) \u00d7 20<\/em> and <em>distance = (x\u22124) \u00d7 25<\/em>. Since the distance is the same both ways, we equate them: <em>(x+4) \u00d7 20 = (x\u22124) \u00d7 25<\/em>. Solving this gives <em>x=36 km\/h<\/em>. Putting this back into any equation, the distance comes out to be <em>(36+4) \u00d7 20 = 800 km<\/em>. So, the distance between the two towns is 800 km.<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Complete Answer:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/5\/2025\/05\/09173730\/going-downstream-in-a-river.png\" alt=\"A steamer going downstream in a river, covers the distance between two towns in 20 hours. Coming back upstream, it covers this distance in 25 hours. The speed of water is 4km\/h. Find the distance between the two towns.\" class=\"wp-image-2233\" srcset=\"https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/5\/2025\/05\/09173730\/going-downstream-in-a-river.png 1024w, https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/5\/2025\/05\/09173730\/going-downstream-in-a-river-300x300.png 300w, https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/5\/2025\/05\/09173730\/going-downstream-in-a-river-150x150.png 150w, https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/5\/2025\/05\/09173730\/going-downstream-in-a-river-768x768.png 768w, https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/5\/2025\/05\/09173730\/going-downstream-in-a-river-80x80.png 80w, https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/5\/2025\/05\/09173730\/going-downstream-in-a-river-380x380.png 380w, https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/5\/2025\/05\/09173730\/going-downstream-in-a-river-800x800.png 800w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>Source: ChatGPT<\/p>\n\n\n\n<p>Let\u2019s solve this step by step:\u00a0<\/p>\n\n\n\n<p><strong>Given:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Time downstream = 20 hours<\/li>\n\n\n\n<li>Time upstream = 25 hours<\/li>\n\n\n\n<li>Speed of water = 4 km\/h<\/li>\n\n\n\n<li>Let the speed of the steamer in still water = x km\/h<\/li>\n\n\n\n<li>Let the distance between the two towns = D km<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 1: Downstream and Upstream Speeds<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Downstream speed = x+4 km\/h<\/li>\n\n\n\n<li>Upstream speed = x\u22124 km\/h<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 2:<\/strong> Use <strong>Distance = Speed \u00d7 Time<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Distance going downstream:<br>D = (x+4) \u00d7 20 \u2192 Equation (1)<\/li>\n\n\n\n<li>Distance going upstream:<br>D = (x\u22124) \u00d7 25 \u2192 Equation (2)<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 3: Set the two expressions for distance equal<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>From Equation (1) and Equation (2):<\/li>\n<\/ul>\n\n\n\n<p>(x+4) \u00d7 20 = (x\u22124) \u00d7 25<\/p>\n\n\n\n<p><strong>Step 4: Solve the Equation<\/strong><\/p>\n\n\n\n<p>20(x+4) = 25(x\u22124)<\/p>\n\n\n\n<p>Expand both sides:<\/p>\n\n\n\n<p>20x + 80 = 25x \u2212 100<\/p>\n\n\n\n<p>Bring like terms together:<\/p>\n\n\n\n<p>80+100 = 25x \u2212 20x \u21d2 180 = 5x \u21d2 x=36<\/p>\n\n\n\n<p><strong>Step 5: Find the Distance<\/strong><\/p>\n\n\n\n<p>Now use the value of x=36x = 36x=36 km\/h in any equation.<br>Using Equation (1):<\/p>\n\n\n\n<p>D = (36+4) \u00d7 20 = 40\u00d720 = <strong>800 km<\/strong><\/p>\n\n\n\n<p>Therefore, the distance between the two towns is <em>800km.<\/em><\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\"><strong>Common Mathematical Doubts:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/questions-answers\/if-two-altitudes-of-a-triangle-are-equal-in-length-prove-that-it-is-an-isosceles-triangle\/\"><strong>If two altitudes of a triangle are equal in length, prove that it is an isosceles triangle.<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/questions-answers\/how-many-squares-are-there-in-a-chess-board\/\"><strong>How Many Squares Are There in a Chess Board?<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/questions-answers\/is-0-a-rational-irrational-natural-whole-integer-or-real-number\/\"><strong>Is 0 a rational, irrational, natural, whole, integer or real number?<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/questions-answers\/using-empirical-formula-calculate-the-mode-of-the-following-data\/\"><strong>Using Empirical Formula Calculate the Mode of the Following Data: 17, 16, 25, 23, 22, 23, 28, 25, 25, 23.\u00a0<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/questions-answers\/in-a-quadrilateral-define-the-following-adjacent-sides\/\"><strong>In a Quadrilateral, Define the Following: Adjacent Sides<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/questions-answers\/find-the-mean-of-the-first-five-whole-numbers\/\"><strong>Find the Mean of the First Five Whole Numbers<\/strong><\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"Answer: We are given the speed of water (4 km\/h) and the time taken by the steamer to&hellip;\n","protected":false},"author":115,"featured_media":2237,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"editor_notices":[],"footnotes":""},"categories":[3],"tags":[],"class_list":{"0":"post-2224","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-math"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>A steamer, going downstream in a river, covers the distance between two towns in 20 hours. Coming back upstream, it covers this distance in 25 hours. The speed of water is 4km\/h. Find the distance between the two towns.<\/title>\n<meta name=\"description\" content=\"A steamer, going downstream in a river, covers the distance between two towns in 20 hours. Coming back upstream, it covers this distance in 25 hours. The speed of water is 4km\/h. Find the distance between the two towns. The answer is 800km.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/leverageedu.com\/questions-answers\/a-steamer-going-downstream-in-a-river-covers-the-distance\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A steamer, going downstream in a river, covers the distance between two towns in 20 hours. Coming back upstream, it covers this distance in 25 hours. The speed of water is 4km\/h. Find the distance between the two towns.\" \/>\n<meta property=\"og:description\" content=\"A steamer, going downstream in a river, covers the distance between two towns in 20 hours. Coming back upstream, it covers this distance in 25 hours. The speed of water is 4km\/h. Find the distance between the two towns. The answer is 800km.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/leverageedu.com\/questions-answers\/a-steamer-going-downstream-in-a-river-covers-the-distance\/\" \/>\n<meta property=\"og:site_name\" content=\"Questions &amp; Answers\" \/>\n<meta property=\"article:published_time\" content=\"2025-05-09T12:36:36+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-05-09T12:36:39+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/5\/2025\/05\/09175158\/A-steamer-going-downstream-in-a-river-covers-the-distance-between-two-towns.webp\" \/>\n\t<meta property=\"og:image:width\" content=\"1024\" \/>\n\t<meta property=\"og:image:height\" content=\"640\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/webp\" \/>\n<meta name=\"author\" content=\"Mohit Rajak\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Mohit Rajak\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"A steamer, going downstream in a river, covers the distance between two towns in 20 hours. Coming back upstream, it covers this distance in 25 hours. The speed of water is 4km\/h. Find the distance between the two towns.","description":"A steamer, going downstream in a river, covers the distance between two towns in 20 hours. Coming back upstream, it covers this distance in 25 hours. The speed of water is 4km\/h. Find the distance between the two towns. The answer is 800km.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/leverageedu.com\/questions-answers\/a-steamer-going-downstream-in-a-river-covers-the-distance\/","og_locale":"en_US","og_type":"article","og_title":"A steamer, going downstream in a river, covers the distance between two towns in 20 hours. Coming back upstream, it covers this distance in 25 hours. The speed of water is 4km\/h. Find the distance between the two towns.","og_description":"A steamer, going downstream in a river, covers the distance between two towns in 20 hours. Coming back upstream, it covers this distance in 25 hours. The speed of water is 4km\/h. Find the distance between the two towns. The answer is 800km.","og_url":"https:\/\/leverageedu.com\/questions-answers\/a-steamer-going-downstream-in-a-river-covers-the-distance\/","og_site_name":"Questions &amp; Answers","article_published_time":"2025-05-09T12:36:36+00:00","article_modified_time":"2025-05-09T12:36:39+00:00","og_image":[{"width":1024,"height":640,"url":"https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/5\/2025\/05\/09175158\/A-steamer-going-downstream-in-a-river-covers-the-distance-between-two-towns.webp","type":"image\/webp"}],"author":"Mohit Rajak","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Mohit Rajak","Est. reading time":"3 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/leverageedu.com\/questions-answers\/a-steamer-going-downstream-in-a-river-covers-the-distance\/#article","isPartOf":{"@id":"https:\/\/leverageedu.com\/questions-answers\/a-steamer-going-downstream-in-a-river-covers-the-distance\/"},"author":{"name":"Mohit Rajak","@id":"https:\/\/leverageedu.com\/questions-answers\/#\/schema\/person\/397ac1e3cf645bddda6f314b3308005b"},"headline":"A steamer, going downstream in a river, covers the distance between two towns in 20 hours. Coming back upstream, it covers this distance in 25 hours. The speed of water is 4km\/h. Find the distance between the two towns.","datePublished":"2025-05-09T12:36:36+00:00","dateModified":"2025-05-09T12:36:39+00:00","mainEntityOfPage":{"@id":"https:\/\/leverageedu.com\/questions-answers\/a-steamer-going-downstream-in-a-river-covers-the-distance\/"},"wordCount":364,"commentCount":0,"image":{"@id":"https:\/\/leverageedu.com\/questions-answers\/a-steamer-going-downstream-in-a-river-covers-the-distance\/#primaryimage"},"thumbnailUrl":"https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/5\/2025\/05\/09175158\/A-steamer-going-downstream-in-a-river-covers-the-distance-between-two-towns.webp","articleSection":["Maths"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/leverageedu.com\/questions-answers\/a-steamer-going-downstream-in-a-river-covers-the-distance\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/leverageedu.com\/questions-answers\/a-steamer-going-downstream-in-a-river-covers-the-distance\/","url":"https:\/\/leverageedu.com\/questions-answers\/a-steamer-going-downstream-in-a-river-covers-the-distance\/","name":"A steamer, going downstream in a river, covers the distance between two towns in 20 hours. Coming back upstream, it covers this distance in 25 hours. The speed of water is 4km\/h. Find the distance between the two towns.","isPartOf":{"@id":"https:\/\/leverageedu.com\/questions-answers\/#website"},"primaryImageOfPage":{"@id":"https:\/\/leverageedu.com\/questions-answers\/a-steamer-going-downstream-in-a-river-covers-the-distance\/#primaryimage"},"image":{"@id":"https:\/\/leverageedu.com\/questions-answers\/a-steamer-going-downstream-in-a-river-covers-the-distance\/#primaryimage"},"thumbnailUrl":"https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/5\/2025\/05\/09175158\/A-steamer-going-downstream-in-a-river-covers-the-distance-between-two-towns.webp","datePublished":"2025-05-09T12:36:36+00:00","dateModified":"2025-05-09T12:36:39+00:00","author":{"@id":"https:\/\/leverageedu.com\/questions-answers\/#\/schema\/person\/397ac1e3cf645bddda6f314b3308005b"},"description":"A steamer, going downstream in a river, covers the distance between two towns in 20 hours. Coming back upstream, it covers this distance in 25 hours. The speed of water is 4km\/h. Find the distance between the two towns. The answer is 800km.","breadcrumb":{"@id":"https:\/\/leverageedu.com\/questions-answers\/a-steamer-going-downstream-in-a-river-covers-the-distance\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/leverageedu.com\/questions-answers\/a-steamer-going-downstream-in-a-river-covers-the-distance\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/leverageedu.com\/questions-answers\/a-steamer-going-downstream-in-a-river-covers-the-distance\/#primaryimage","url":"https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/5\/2025\/05\/09175158\/A-steamer-going-downstream-in-a-river-covers-the-distance-between-two-towns.webp","contentUrl":"https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/5\/2025\/05\/09175158\/A-steamer-going-downstream-in-a-river-covers-the-distance-between-two-towns.webp","width":1024,"height":640,"caption":"A steamer, going downstream in a river, covers the distance between two towns in 20 hours. Coming back upstream, it covers this distance in 25 hours. The speed of water is 4km\/h. Find the distance between the two towns."},{"@type":"BreadcrumbList","@id":"https:\/\/leverageedu.com\/questions-answers\/a-steamer-going-downstream-in-a-river-covers-the-distance\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/leverageedu.com\/questions-answers\/"},{"@type":"ListItem","position":2,"name":"A steamer, going downstream in a river, covers the distance between two towns in 20 hours. Coming back upstream, it covers this distance in 25 hours. The speed of water is 4km\/h. 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I find peace and purpose in crafting verses that dance between the lines of poetry. With my pen as my wand, I weave intricate tales and heartfelt musings, breathing life into the blank canvas of each page. Blogging is my window to the world way of sharing thoughts, emotions, and a perspective uniquely my own. Every word I write is a brushstroke in the ever-evolving painting of my literary journey.","sameAs":["https:\/\/www.instagram.com\/xx_a.m.strings_xiv\/","https:\/\/www.linkedin.com\/in\/mohit-rajak-a9a5a2162\/"],"url":"https:\/\/leverageedu.com\/questions-answers\/author\/mohit\/"}]}},"acf":[],"_links":{"self":[{"href":"https:\/\/leverageedu.com\/questions-answers\/wp-json\/wp\/v2\/posts\/2224","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/leverageedu.com\/questions-answers\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/leverageedu.com\/questions-answers\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/questions-answers\/wp-json\/wp\/v2\/users\/115"}],"replies":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/questions-answers\/wp-json\/wp\/v2\/comments?post=2224"}],"version-history":[{"count":2,"href":"https:\/\/leverageedu.com\/questions-answers\/wp-json\/wp\/v2\/posts\/2224\/revisions"}],"predecessor-version":[{"id":2246,"href":"https:\/\/leverageedu.com\/questions-answers\/wp-json\/wp\/v2\/posts\/2224\/revisions\/2246"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/questions-answers\/wp-json\/wp\/v2\/media\/2237"}],"wp:attachment":[{"href":"https:\/\/leverageedu.com\/questions-answers\/wp-json\/wp\/v2\/media?parent=2224"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/leverageedu.com\/questions-answers\/wp-json\/wp\/v2\/categories?post=2224"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/leverageedu.com\/questions-answers\/wp-json\/wp\/v2\/tags?post=2224"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}