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	<title>a and b complete a work in 30 and 20 days - Wikitechy</title>
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	<title>a and b complete a work in 30 and 20 days - Wikitechy</title>
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		<title>Y can do a work in 2/3 the time it takes x, z can do same work in 3/4 time it takes y. when all three are typing the same time what is the fraction of total work does y do ?</title>
		<link>https://www.wikitechy.com/interview-questions/time-and-work/y-can-do-a-work-in-2-3-the-time-it-takes-x-z-can-do-same-work-in-3-4-time-it-takes-y-when-all-three-are-typing-the-same-time-what-is-the-fraction-of-total-work-does-y-do/</link>
					<comments>https://www.wikitechy.com/interview-questions/time-and-work/y-can-do-a-work-in-2-3-the-time-it-takes-x-z-can-do-same-work-in-3-4-time-it-takes-y-when-all-three-are-typing-the-same-time-what-is-the-fraction-of-total-work-does-y-do/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Wed, 18 Aug 2021 03:09:36 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=2091</guid>

					<description><![CDATA[Answer : A . 4/13]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Y can do a work in 2/3 the time it takes x, z can do same work in 3/4 time it takes y. when all three are typing the same time what is the fraction of total work does y do ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 4/13</p>
</div>
<div class="col-sm-6">
<p>B. 8/29</p>
</div>
<div class="col-sm-6">
<p>C. 1/3</p>
</div>
<div class="col-sm-6">
<p>D. 9/23</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-4-13"><b>Answer : </b>A . 4/13</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<p>&nbsp;</p>
<div class="Content">
<div class="hddn">
<p>Time Taken by Y = (2 * 100) / 3<br />
= 66.66 unit.</p>
<p>Time taken by Z = (3 * 66.66) / 4<br />
= 50 unit.</p>
<p>Ratio of time of X, Y and Z =<b> 100 : 66.66 : 50</b></p>
<p>Fraction of work Y do = 66.66 / (100 + 66.66 + 50)<br />
= 0.307<br />
=<b> 4/13</b>.</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>A alone can do 1/4th of the work in 2 days. B alone can do 2/3rd of the work in 4 days. If all the three work together, they can complete it in 3 days so what part of the work will be completed by C in 2 days ?</title>
		<link>https://www.wikitechy.com/interview-questions/time-and-work/a-alone-can-do-1-4th-of-the-work-in-2-days-b-alone-can-do-2-3rd-of-the-work-in-4-days-if-all-the-three-work-together-they-can-complete-it-in-3-days-so-what-part-of-the-work-will-be-completed-by-c-i/</link>
					<comments>https://www.wikitechy.com/interview-questions/time-and-work/a-alone-can-do-1-4th-of-the-work-in-2-days-b-alone-can-do-2-3rd-of-the-work-in-4-days-if-all-the-three-work-together-they-can-complete-it-in-3-days-so-what-part-of-the-work-will-be-completed-by-c-i/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Wed, 18 Aug 2021 03:03:11 +0000</pubDate>
				<category><![CDATA[Time and Work]]></category>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=2087</guid>

					<description><![CDATA[Answer : A. 1/12]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A alone can do 1/4<sup>th</sup> of the work in 2 days. B alone can do 2/3<sup>rd</sup> of the work in 4 days. If all the three work together, they can complete it in 3 days so what part of the work will be completed by C in 2 days ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 1/12</p>
</div>
<div class="col-sm-6">
<p>B. 1/8</p>
</div>
<div class="col-sm-6">
<p>C. 1/6</p>
</div>
<div class="col-sm-6">
<p>D. 1/20</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-1-12"><b>Answer : </b>A. 1/12</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>A can do the total work in 8 days, and B can do it in 6 days.</p>
<p>Let the total work be 24 units.</p>
<p>Now,<br />
A = 24/8 = 3<br />
B = 24/6 = 4<br />
A + B + C = 24/3 = 8</p>
<p>So Capacity of C = 1 unit.<br />
In two days C will do 2 units which is 2/24<sup>th</sup> part of the total work. So <b>1/12<sup>th</sup></b> part.</p>
</div>
</div>
]]></content:encoded>
					
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