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<html><body><h2 id="content-id-7502468139-2"><b>Time And Work Questions Overview</b></h2><p>Time And Work Questions have a good weightage in the Ssc Gd Constable Exam and the type of question asked in Ssc Gd Constable exam is similar to the question mentioned below. It has been solved and explained by KD Live Experts under the guidance of Neetu Mam and they have tried to elaborate the concept used in Time And Work Questions.</p><h2 id="content-id-5912064837-3"><b>Question On Time And Work </b></h2>7 men, 12 women, and 16 children can complete a piece of work in 24 days, 20 days and 21 days respectively. Then find, in how many days 2 men, 1 woman, and 3 children together can complete the twice of the same work?
<div class="row show--dificulty--bar" style="margin-top:8px;"><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex !important;border-right:0.1px solid #eee;"><h3 style="font-size:12px !important;">Difficulty : Moderate </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 39 Seconds </h3></div></div><h2 id="content-id-8752094316-4"><b> Time And Work Questions Options</b></h2><ol><li><p>36 Days</p>
</li><li><p>24 Days</p>
</li><li><p>40 Days</p>
</li><li><p>56 Days</p>
</li></ol> <h2 id="content-id-4983027651-5"><b> Time And Work Questions Solution</b></h2><p>The correct answer is <strong>option 3</strong> i.e. <strong>40 Days</strong>.</p>

<p><span style="background-color:transparent">LCM of given days is taken as total work.</span></p>

<p>Also,</p>

<p>No of men × No of days = No of women × No of days = No of children × No of days </p>

<p>⇒ 7M × 24D = 12W × 20D = 16C × 21D</p>

<p>⇒ 7M = 10W = 14C </p>

<p>(where M = men, W = women, C = children and D = days)</p>

<p>For efficiency:</p>

<p>LCM of 10, 7, and 14 = 70</p>

<p>Efficiency = Total work / days</p>

<p>So,</p>

<p>Men's efficiency = 70/7 = 10</p>

<p>Women's efficiency = 70/10 = 7</p>

<p>Children's efficiency = 70/14 = 5</p>

<p>Sum of efficiency of 2M + 1W + 3C = (10 × 2 + 7 × 1+ 5 × 3) = 42</p>

<p>Now,</p>

<p>Total work = LCM of Days = 24, 20 and 21 = 840</p>

<p>No. of days = Twice of total work/sum of efficiency  = (2 × 840)/42 = 1680/42 = 40 Days</p>
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The correct answer is option 3 i.e. 40  - Time And Work Questions are asked in Ssc Gd Constable exams and your question has been explained by experts like Neetu Mam.

7 men 12 women and 16 - Time And Work Questions for Ssc Gd Constable

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