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		<title>The ratio of efficiency of A is to C is 5:3. The ratio of no.of days taken by B is to C is 2:3. A takes 6 days less than C, when A and C completes the work individually. B and C left the work after 2 days. The no of days taken by A to finish the remaining work ?</title>
		<link>https://www.wikitechy.com/interview-questions/time-and-work/the-ratio-of-efficiency-of-a-is-to-c-is-53-the-ratio-of-no-of-days-taken-by-b-is-to-c-is-23-a-takes-6-days-less-than-c-when-a-and-c-completes-the-work-individually-b-and-c-left-the-work-after-2/</link>
					<comments>https://www.wikitechy.com/interview-questions/time-and-work/the-ratio-of-efficiency-of-a-is-to-c-is-53-the-ratio-of-no-of-days-taken-by-b-is-to-c-is-23-a-takes-6-days-less-than-c-when-a-and-c-completes-the-work-individually-b-and-c-left-the-work-after-2/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Wed, 18 Aug 2021 03:11:34 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=2092</guid>

					<description><![CDATA[Answer : C. 6]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">The ratio of efficiency of A is to C is 5:3. The ratio of no.of days taken by B is to C is 2:3. A takes 6 days less than C, when A and C completes the work individually. B and C left the work after 2 days. The no of days taken by A to finish the remaining work ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 4.5</p>
</div>
<div class="col-sm-6">
<p>B. 5</p>
</div>
<div class="col-sm-6">
<p>C. 6</p>
</div>
<div class="col-sm-6">
<p>D. 28/3</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-6"><b>Answer : </b>C. 6</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<ul>
<li style="list-style-type: none;">
<ul>
<li>A : C
<ul>
<li style="list-style-type: none;">
<ul>Efficiency of A and C = 5 : 3</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>The Ratio of Work done is 3 : 5 = 3x : 5x</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>Given:</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>Difference between A&#8217;s and C&#8217;s work done is 6 days so,</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>5x &#8211; 3x = 6</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>x = 3</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>Number of days taken by A = 3 * 3</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>=</ul>
</li>
</ul>
<p><b>9 Days</b></p>
<ul>
<li style="list-style-type: none;">
<ul>Number of days taken by C = 5 * 3</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>=</ul>
</li>
</ul>
<p><b>15 Days</b></li>
<li>B : C
<ul>
<li style="list-style-type: none;">
<ul>Ratio of work done of B and C = 2:3</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>As we have calculated C&#8217;s total work done in 15 days so,</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>3x = 15 days</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>x = 5</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>Therefore, Number of days taken by B = 2 * 5</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>=</ul>
</li>
</ul>
<p><b>10 Days</b></p>
<ul>
<li style="list-style-type: none;">
<ul>Now we have total work done by a ,b and c in 9, 10 and 15 days respectively</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>Work done by B and C in initial 2 days = 2 * [ 1/10 + 1/15 ]</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>= 1/3</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>Thus, Remaining work = 1 &#8211; 1/3</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>=</ul>
</li>
</ul>
<p><b>2/3</b></li>
</ul>
</li>
</ul>
<p>A do total work in 9 days so, 2/3 work is done in (9 * 2/3) = <b>6 days</b></p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>Jake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. Hari alone can dig the well in ?</title>
		<link>https://www.wikitechy.com/interview-questions/time-and-work/jake-can-dig-a-well-in-16-days-paul-can-dig-the-same-well-in-24-days-jake-paul-and-hari-together-dig-the-well-in-8-days-hari-alone-can-dig-the-well-in/</link>
					<comments>https://www.wikitechy.com/interview-questions/time-and-work/jake-can-dig-a-well-in-16-days-paul-can-dig-the-same-well-in-24-days-jake-paul-and-hari-together-dig-the-well-in-8-days-hari-alone-can-dig-the-well-in/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Wed, 18 Aug 2021 03:01:27 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=2086</guid>

					<description><![CDATA[Answer : A. 48]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Jake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. Hari alone can dig the well in ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 48</p>
</div>
<div class="col-sm-6">
<p>B. 96</p>
</div>
<div class="col-sm-6">
<p>C. 24</p>
</div>
<div class="col-sm-6">
<p>D. 32</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-48"><b>Answer : </b>A. 48</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>As Jake , Paul and Hari can dig the well in 8 days,<br />
Jack one day work = 1/16<br />
Paul one day work = 1/24<br />
Hari one day work = 1/x</p>
<p>Given,<br />
(Jake, Paul and hari) 1 day work = 1/8</p>
<p>So, 1/16 + 1/24 + 1/x = 1/8<br />
5/48 + 1/x = 1/8<br />
1/x = 1/8 &#8211; 5/48<br />
1/x = (6 &#8211; 5) / 48<br />
= 1/48<br />
1/x = 1/48</p>
<p>Therefore, Paul can finished work in <b>48 days</b>.</p>
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