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<html><body><h2 id="content-id-6412937805-2"><b>Time   Work Questions Overview</b></h2><p>Time   Work Questions have a good weightage in the Ssc Chsl Exam and the type of question asked in Ssc Chsl 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   Work Questions.</p><h2 id="content-id-5089176324-3"><b>Question On Time   Work </b></h2>P alone can finish a work in a days and Q alone can finish it in 1.5a days. They start working together, but after k days P leaves. Q completes the remaining work in 7 days. If the ratio a : k = 4 : 1, find the value of a.
<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 : Easy </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-8306451927-4"><b> Time   Work Questions Options</b></h2><ol><li><p>5</p>
</li><li><p>6</p>
</li><li><p>7</p>
</li><li><p>8</p>
</li><li><p>9</p>
</li></ol> <h2 id="content-id-2893061754-5"><b> Time   Work Questions Solution</b></h2><p>The correct answer is <strong>option 4</strong> i.e. <strong>8</strong>.</p>

<p>Efficiency of P = <span class="math-tex">\(1\over a\)</span></p>

<p>Efficiency of Q = <span class="math-tex">\(1\over1.5a\)</span> = <span class="math-tex">\(2\over3a\)</span></p>

<p>Given, a : k = 4 : 1</p>

<p>Therefore, k = <span class="math-tex">\(a\over4\)</span></p>

<p>Work completed by P and Q together in k days:</p>

<p>= <span class="math-tex">\(\left({1\over a}+{2\over3a}\right)\times{a\over4}\)</span></p>

<p>= <span class="math-tex">\({5\over3a}\times{a\over4}\)</span> = <span class="math-tex">\({5\over12}\)</span></p>

<p>Therefore, the remaining work = 1 − <span class="math-tex">\({5\over12}\)</span> = <span class="math-tex">\({7\over12}\)</span></p>

<p>Q completes this remaining work in 7 days.</p>

<p>Therefore, <span class="math-tex">\({2\over3a}\times7={7\over12}\)</span></p>

<p><span class="math-tex">\({14\over3a}={7\over12}\)</span></p>

<p>168 = 21a</p>

<p>a = 8</p>
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The correct answer is option 4 i.e. 8. - Time   Work Questions are asked in Ssc Chsl exams and your question has been explained by experts like Neetu Mam.

P alone can finish a work - Time Work Questions for Ssc Chsl

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