Practice Paper on Time Speed Distance for CLAT 2020

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Practice Paper on Time Speed Distance for CLAT 2020How much time will it take for an airplane to cover the distance of 36000 km with the speed of 400 km/hr.? The​​ train travelling at a speed of 90 kmph crosses the​​ Timbaktoo​​ Railway​​ Platform​​ in 40 seconds and crosses Nikita who is standing on the same platform in 20 seconds. Find the length of the​​ Timbaktoo​​ Platform. If Aman covers the distance of 800 km on his bike in 2 days without a break, how much distance can Aman cover in 5 days with 8 hours of stop every day?  Dikshita is 40 min late for the movie if she walk at the speed of 2 km/h and reaches 60 minutes early if she walks at 5 km/hr. ​​ Calculate​​ the distance to Movie theatre? Calculate the distance covered by Gulshan if he walks at 5 km/h for 7.5 hours?  If Seema covers 60 km in 2 hours, how much​​ distance​​ will she cover in 7 hours? In a motor car race, Racer A and Racer B are at the​​ speed of 150 km/h and​​ 180 km/h respectively. Calculate the race length​​ (in​​ km) if the racer A arrives 40 minutes late.  Tejas Express is a 150 m long train and is running at the constant speed of 30 km/h. How much time will it take to cross the bridge that is 360 m in length? On the expressway, the street lights are placed at a distance of 25 m and the car is moving at the speed of 60 km/hr. ​​ How many streets will he pass in 5 minutes?DIY RIDDLEPradeep gave a 2000 rupee note to the shopkeeper A for the commodities bought worth Rs. 200. As shopkeeper A did not have change, he gave the 2000 rupee note to shopkeeper B and took the change from him. From that change, he kept 200 with himself and returned Rs. 1800 back to Pradeep. Later, Shopkeeper B complained to shopkeeper A that the 2000 rupee note was fake and therefore shopkeeper A kept the fake note and gave a real note of 2000 to​​ shopkeeper B. Calculate the loss caused to shopkeeper A.Answers with explanationsTime = Distance / Speed ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 36000/ 400 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ =​​ 90 Hours Length of the platform = speed of train * extra time taken to cross the platform.Converting​​ 80 kmph in m/s =​​ 80* 5/12 = 37.5 m/sExtra time = 40-20 = 20 secondsLength of the platform = 37.5* 20 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 750 m/s. Speed of Aman = 800/2 = 400 km/day ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 400/24 = 16.6 km/hTime travelled in 5 days = 80 hoursDistance travelled = 16.6 * 80 = 1320 km Let the distance to movie theatre be x km ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ x/3 – x/4 = (40+60) * 1/60​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ (4x-3x)/12 = 100/60 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ x/12 = 5/3 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ 3x = 60 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ x = 20 km. Distance covered by Gulshan = 5* 7.5 = 37.5 km Speed of Seema = 60/ 2 = 30 km/hDistance covered in 7 hours = 7*30 = 210 km. Let the race length be x km.For Racer A, Time = x/ 150For racer B, Time = x/180x/150 – x/180 = 40/60x = 600 km Distance to be​​ covered =​​ 150 + 360 = 510 m.Speed = 30 km/hr. ​​ ​​​​ Time taken = 0.51/ 30 = 0.017 hours = 61.2 secondsConverting the speed in m/s​​ 60 km/h = (60 * 5 * 60)/ 18 = 1000 m/minNumber of posts in one minute = 1000/ 25 = 40Number of posts in 5 minutes = 40* 5 = 200​​    (function( $ ) { //footnotes $('.defaultNote').children(":first").css('cursor', 'pointer'); $('.defaultNote').children(":first").click(function(){ var gotoID = '#' + $(this).parent().attr('id'); $('html, body').animate( { scrollTop: $('a[href="' + gotoID + '"]').offset().top - 60, }, 250, 'linear' ) }); }(jQuery)); var numFormat = ",."; (function( $ ) { "use strict"; //do some cleaning on load var sortCells = $('td[data-sorting], th[data-sorting]'); sortCells.each(function(){ var first = $(this).text().trim().charAt(0); if (first == '@'){ var oldHTML = $(this).html(); var newHTML = oldHTML.replace('@', ''); $(this).html(newHTML); } }); function sortingTable(node, pos, ordBy){ var rows = node.children('tbody').children('tr').get(); rows.sort(function(a, b) { var X = $(a).children('td').eq(pos).text().toUpperCase(); var Y = $(b).children('td').eq(pos).text().toUpperCase(); if (numFormat != '.,'){ //we are dealing with a different locale and we need to do some //transformation in numbers X = convert2number(X); Y = convert2number(Y); } else { X = X.replace(/,/g, '').replace(/ /g, ''); Y = Y.replace(/,/g, '').replace(/ /g, ''); } var currencies = ['$', '¥', '£', '€']; var arrayLength = currencies.length; var XX = X; var YY = Y; for (var i = 0; i < arrayLength; i++) { XX = XX.replace(currencies[i], ''); YY = YY.replace(currencies[i], ''); } if (!isNaN(XX) && !isNaN(YY)){ var floatXX = parseFloat(XX); var floatYY = parseFloat(YY); return -(floatYY-floatXX) * ordBy; } else if (!isNaN(XX) && isNaN(YY)){ return -1 * ordBy; } else if (isNaN(XX) && !isNaN(YY)){ return ordBy; } else { if(X < Y) { return -1 * ordBy; } if(X > Y) { return 1 * ordBy; } return 0; } }); $.each(rows, function(index, row) { node.children('tbody').append(row); }); } function removeTableCellDecoration() { $("td[data-sorting], th[data-sorting]").removeClass('sortDecorator'); } //unbind the click event just in case we are loading more than one document $("td[data-sorting], th[data-sorting]").off('click'); $("td[data-sorting], th[data-sorting]").click(function(){ removeTableCellDecoration(); $(this).addClass('sortDecorator'); //get desired ordering var ordering = $(this).attr('data-sortOrdering'); if (ordering == 'ASC'){ var ordBy = -1; $(this).attr('data-sortOrdering', 'DESC'); } else { var ordBy = 1; $(this).attr('data-sortOrdering', 'ASC'); } var cellPosition = $(this).prevAll().length; var table = $(this).parents('table:first'); sortingTable(table, cellPosition, ordBy); }); function convert2number(str) { str = str.trim(); if (str.match(/^\d+/)) { //we have to take special care when the thousand separators are '.' var result_0 = str.replace(/\./g, '_@_'); var result_1 = result_0.replace(window.numFormat[0], '.'); var result = result_1.replace(/_@_/g, ''); result .replace(/ /g, ''); return result; } else { return str; } } }(jQuery));