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Question

Rahat completes a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

121 km

242 km

112 km

224 km

None of these

ANSWER : 4

Descrption

<table cellspacing = "0" style = "border - collapse:collapse; width:502px">
	<tbody>
		<tr>
			<td style = "border - bottom:1px solid black; border - left:1px solid black; border - right:1px solid black; border - top:1px solid black; height:442px; vertical - align:top; white - space:normal; width:502px">Total time taken  =  10 hrs<br />
			Let the time taken for first half of journey  =  x hours<br />
			So, 21x  =  (10 &ndash; x)  &lt;math xmlns = &quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mo&gt;&amp;#xD7;&lt;/mo&gt;&lt;/math&gt; 24<br />
			or, 21x  =  240 &ndash; 24x<br />
			or, 45x  =  240<br />
			or, x  =  &lt;math xmlns = &quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mn&gt;21&lt;/mn&gt;&lt;mo&gt;&amp;#xA0;&lt;/mo&gt;&lt;mo&gt;&amp;#xD7;&lt;/mo&gt;<br />
			&lt;mo&gt;&amp;#xA0;&lt;/mo&gt;&lt;mfrac&gt;&lt;mn&gt;48&lt;/mn&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo&gt;  +  &lt;/mo&gt;&lt;mn&gt;24&lt;/mn&gt;&lt;mo&gt;&amp;#xA0;&lt;/mo&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mn&gt;10&lt;/mn&gt;&lt;mo&gt; - &lt;/mo&gt;&lt;mo&gt;&amp;#xA0;&lt;/mo&gt;&lt;mfrac&gt;&lt;mn&gt;48&lt;/mn&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;<br />
			 Hence, total journey  =  21x   +   (10 - x) 24 &lt;math xmlns = &quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfrac&gt;&lt;mn&gt;42&lt;/mn&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;/mfrac&gt;&lt;/math&gt;  =  21x   +   (10 &ndash; x)  24  =  112   +   112  =  224 km</td>
		</tr>
	</tbody>
</table>

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