Questions to Practice Time and Distance for CLAT 2020

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Questions to Practice Time and Distance for CLAT 2020The electric lawn mower mows at the speed of 20 km/hr. How much can this mower mow in 40 hours?Naman can cover the distance 190 km in​​ 3 hours. How long would it take for him to cover the distance of 1000 km?Akshita goes on a walking expedition and she covers 200 kms on the first day if she walks​​ nonstop. How many days will it take for her to cover​​ remaining​​ distance of 1200 kms if she takes a rest for 12​​ hours daily?Two brothers X and Y are walking home from school at the speed of 5 km/hr and 7 km/hr respectively. Calculate the distance between home and school if X arrives 1 hour late.A 100 m long super Bus is running at the constant speed​​ of 50 km/h. How much time will it take to cross a flyover bridge of 1 km?If the potted plants are placed at a distance of 2 m in the hallway and Susan walks at a speed of 6 km/hr, how many plats will Susan cross in 20 minutes?A car travelling at the speed of 80 km/hr crosses the Driveway food plaza on the highway in 30​​ seconds and crosses a Statue there in 20 seconds. Find the length of Driveway food plaza?At what speed should Alisha drive to cover the distance of 100 km in 3.5 hours?Find the distance covered by Shweta in 7 hours if she walks at the speed of 7.5 km/hr and also took a total of 3 hours rest time in these 7 hours? DO IT YOURSELF!Shankar is going to temple and he is 30 min late if he walks at the speed of 5 km/hr and he reaches 30 minutes early if he walks at the speed of 8 km/hr. Calculate the distance to the temple.  ANSWERS WITH EXPLANATIONS Speed = Distance/ time20 = D/ 40D = 40*20 = 800 km.Speed = Distance/ time190/3 = 1000/ time63.3 = 1000/ timeTime = 1000/63.3​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 15.7 hours ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 16 hours (approx.) Akshita’s speed = 200/24 = 8.3 km/hrHours taken = 1200/8.3 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = ​​ 144.5 hours = 144 hours approxWalking hours in one​​ day = 24-12​​ = 12 hoursNo. of days = 144/12 = 12 days Let the distance between home and school be x km.For X, Time = x/ 5For Y, Time = x/7x/5 – x/7​​ = 60/60x = 17.5 km Distance to be covered = 100 + 1000 = 1100 m. = 1100/1000 = 1.1 kmSpeed = 50 km/hr.Time taken = 1.1/ 50 =​​ 0.022 hours = 79.2 seconds  ​​ ​​ ​​ ​​ ​​ ​​​​ Converting the speed in m/s​​ 6 km/h = (6 * 5 * 60)/ 18 = 100 m/minNumber of plants in one minute = 100/ 2 = 50Number of plants in 20 minutes = 50* 20 = 1000 Length of the Driveway food plaza ​​ = speed of car * extra time taken to cross the Driveway food plaza.Converting 80 kmph in m/s =​​ 80* 5/18​​ =​​ 22.2​​ ​​ m/sExtra time = 30-20 = 10 secondsLength of the​​ Driveway food plaza​​ =​​ 22.2 * 10 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 222 m. Required speed = 100/3.5 = 28.5 km/hRequired distance = Speed * time ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 7.5 * 4 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 30 km.      (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));