{"id":7957,"date":"2024-04-15T02:52:55","date_gmt":"2024-04-15T02:52:55","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=7957"},"modified":"2024-04-15T02:52:55","modified_gmt":"2024-04-15T02:52:55","slug":"if-the-stopping-distance-and-average-length-of-a-vehicle-are-18-m-and-6-m-respectively-then-the-theoretical-maxia%c2%acmum-capacity-of-a-traffic-lane-at-a-speed-of-10-m-sec-is-a-1500-vehicles-per-ho","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-the-stopping-distance-and-average-length-of-a-vehicle-are-18-m-and-6-m-respectively-then-the-theoretical-maxia%c2%acmum-capacity-of-a-traffic-lane-at-a-speed-of-10-m-sec-is-a-1500-vehicles-per-ho\/","title":{"rendered":"If the stopping distance and average length of a vehicle are 18 m and 6 m respectively, then the theoretical maxi\u00c2\u00acmum capacity of a traffic lane at a speed of 10 m\/sec is A. 1500 vehicles per hour B. 2000 vehicles per hour C. 2500 vehicles per hour D. 3000 vehicles per hour"},"content":{"rendered":"<p>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6a982a39de0ec\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    1500 vehicles per hour                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    2000 vehicles per hour                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"true\">\r\n                    2500 vehicles per hour                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    3000 vehicles per hour                <\/div>\r\n                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    <!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{B}}$.<\/p>\n<p>The theoretical maximum capacity of a traffic lane is the maximum number of vehicles that can pass a given point on a road in a given amount of time. It is calculated by dividing the length of the lane by the average time it takes a vehicle to travel through the lane.<\/p>\n<p>The average time it takes a vehicle to travel through a lane is equal to the distance traveled divided by the speed. In this case, the distance traveled is equal to the length of the lane plus the stopping distance plus the average length of a vehicle. The speed <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div> is equal to 10 m\/sec.<\/p>\n<p>Therefore, the theoretical maximum capacity of a traffic lane is:<\/p>\n<p>$$\\frac{18 \\text{ m} + 10 \\text{ m} + 6 \\text{ <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> m}}{10 \\text{ m\/sec}} = 20 \\text{ vehicles\/sec} = 2000 \\text{ vehicles\/hour}$$<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Subscribe on YouTube<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[652],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>If the stopping distance and average length of a vehicle are 18 m and 6 m respectively, then the theoretical maxi\u00c2\u00acmum capacity of a traffic lane at a speed of 10 m\/sec is A. 1500 vehicles per hour B. 2000 vehicles per hour C. 2500 vehicles per hour D. 3000 vehicles per hour<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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