// Numbas version: exam_results_page_options
{"name": "Better question", "extensions": [], "custom_part_types": [], "resources": [["question-resources/tiny_car.png", "/srv/numbas/media/question-resources/tiny_car.png"], ["question-resources/big_blue_car.png", "/srv/numbas/media/question-resources/big_blue_car.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": [], "name": "Better question", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "<h4>a)</h4>\n<p>Because the car&nbsp;is travelling at a constant speed, the distance travelled after $t$ hours is equal to the car's velocity, $v$, multiplied by the time elapsed, $t$.</p>\n<p>We have been told that&nbsp;$v = 7$ mph.</p>\n<p>\\[ d(t) = v \\times t = 7 t \\]</p>\n<h4>b)</h4>\n<p>We have been given a time in minutes but our formula uses hours, so we first have to convert to hours.</p>\n<p>10 minutes is $\\frac{1}{6}$ of an hour.&nbsp;</p>\n<p>Now, use $t = \\frac{1}{6}$ in the formula from part&nbsp;<strong>a:</strong></p>\n<p>\\begin{align}<br/>d(t) &amp;= 7t \\\\<br/>\\simplify[]{d(1/6)} &amp;= 7 \\times \\frac{1}{6} \\\\<br/>&amp;= \\frac{7}{6}<br/>\\end{align}</p>\n<p>The car has travelled $\\frac{7}{6}$ of a mile in&nbsp;10 minutes.</p>\n<h4>c)</h4>\n<p>We want to find the value of $t$ when the distance travelled is $14$ miles.</p>\n<p>Rearrange the formula from part&nbsp;<strong>a:</strong></p>\n<p>\\begin{align}<br/>d(t) &amp;= 7t \\\\<br/>14 &amp;= 7t \\\\<br/>t &amp;= 14 \\div 7 \\\\<br/>&amp;= 2<br/>\\end{align}</p>\n<p>The driver&nbsp;takes&nbsp;<strong>2 hours</strong> to reach point $B$.</p>", "rulesets": {}, "parts": [{"prompt": "<p>Write a formula for the car's distance in miles&nbsp;from point $A$, $d(t)$, in terms of the time elapsed in hours, $t$.</p>\n<p>$d(t) = $&nbsp;[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "7t", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>Use your formula to determine how far the driver has travelled after&nbsp;<strong>10 minutes</strong>.</p>\n<p>Give your answer in <strong>miles</strong>, as a whole number or fraction.</p>\n<p>[[0]] miles</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": true, "variableReplacements": [], "maxValue": "7/6", "minValue": "7/6", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": true, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>How long does the&nbsp;driver take to reach point $B$?</p>\n<p>Give your answer in <strong>hours</strong>, as a whole number or fraction.</p>\n<p>[[0]] hours</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": true, "variableReplacements": [], "maxValue": "2", "minValue": "2", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": true, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p><img src=\"resources/question-resources/big_blue_car.png\" alt=\"Car starting at point A, with point B in front\" title=\"Car starting at point A, with point B in front\" style=\"width: 600px; height: 190px; display: block; margin-left: auto; margin-right: auto;\"/></p>\n<p>A driver travels from&nbsp;point $A$ to point $B$, <b>$14$ miles</b>&nbsp;away.</p>\n<p>The driver travels at a constant speed&nbsp;of $7$<strong> mph</strong>.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {}, "metadata": {"description": "", "licence": "None specified"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}]}