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<html><body><h2 id="content-id-0286491357-2"><b>Time And Work Questions Overview</b></h2><p>Time And Work Questions have a good weightage in the Ibps Clerk Exam and the type of question asked in Ibps Clerk 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-0741832956-3"><b>Question On Time And Work </b></h2>10 Men and 8 Women can complete a work in 15 days, 15 Men and 12 Children can complete the work in 23 days, 16 Women and 30 children can complete the work in 20 days .The work would be completed by 75 Men in?
<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 : 37 Seconds </h3></div></div><h2 id="content-id-2504618739-4"><b> Time And Work Questions Options</b></h2><ol><li><p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">5 days</span></span></p>
</li><li><p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">6 days</span></span></p>
</li><li><p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">4 days</span></span></p>
</li><li><p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">9 days</span></span></p>
</li><li><p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">None of these</span></span></p>
</li></ol> <h2 id="content-id-7680259341-5"><b> Time And Work Questions Solution</b></h2><p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">Let the work to be completed Be LCM of ( 15 , 23 ) = 345</span></span></p>

<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">Then</span></span></p>

<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">10 M + 8 W = 345/15 = 23</span></span></p>

<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">15 M + 12 C = 345/ 23 = 15</span></span></p>

<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">Multiply 2<sup>nd</sup> equation by 2/3 we get</span></span></p>

<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">10 M + 8 C = 10</span></span></p>

<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">Now let 10 M = X, then</span></span></p>

<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">W =( 23– X ) ÷8</span></span></p>

<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">C = ( 10– X ) ÷ 8</span></span></p>

<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">Again it is given that</span></span></p>

<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">16 W + 30 C = 345 / 20 = 17.25;</span></span></p>

<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">Substituting value of W and C in above equation we get</span></span></p>

<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">16 ×(23–X)÷ 8 + 30 ×(10–X)÷ 8 = 17.25</span></span></p>

<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">46 – 2X + 150 / 4 – 15 X / 4 = 17.25</span></span></p>

<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">83.5 – 5.75 X = 17.25</span></span></p>

<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">X = 265 / 23;</span></span></p>

<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">10M = 265 / 23</span></span></p>

<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">75 M = 75 ×(265÷230) = 3975 / 46</span></span></p>

<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">75 M × t = 345 so t = 345 × 46 ÷ 3975 = 15870 ÷ 3975 = 4 ( approximate)</span></span></p>
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