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Question
With a uniform speed , a car covers a distance in 8 hours . Had the same distance could have been increased by 4 km/hr. The same distance could have been covered in 7 hours and 30 minutes. What is the distance covered?
420 km
480 km
520 km
640 km
ANSWER : 2
Descrption
<p style="margin-left:0px;">Correct option is B)</p><h2 style="margin-left:0px;">Let the distance be x Km.</h2><h2 style="margin-left:0px;"> Then,<br><br>x/2/5-x/8=4 </h2><figure class="image image_resized image-style-side" style="width:46.73%;"><img src="data:image/png;base64,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"></figure><h2 style="margin-left:0px;"><br><br>∴x=480km.</h2>
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