Jun 15, 2025
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Lifestyle
The Great Outdoors
a boat goes 6 km an hour in still water , but takes thrice as much time is going the
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<blockquote data-quote="»[Brain]«»[Waves]«1" data-source="post: 2752468" data-attributes="member: 918749"><p>Let the velocity of the boat be v km/h and velocity of the current be u km/h.</p><p></p><p>When the boat goes in still water, its velocity is v=6 km/h.</p><p></p><p>When the boat goes against the current, its velocity is v-u=(6-u) km/h.</p><p></p><p>For distance S, time taken in still water to cover the distance = S/6 seconds.</p><p></p><p>For same distance S, time taken while going against the current = S/(6-u) seconds.</p><p></p><p>According to given, S/(6-u) = 3*(S/6)</p><p></p><p>=> 1/(6-u) = 1/2</p><p>=> 6-u = 2</p><p>=> u=4 km/h.</p><p></p><p>So, the speed of the current is 4 km/h.</p></blockquote><p></p>
[QUOTE="»[Brain]«»[Waves]«1, post: 2752468, member: 918749"] Let the velocity of the boat be v km/h and velocity of the current be u km/h. When the boat goes in still water, its velocity is v=6 km/h. When the boat goes against the current, its velocity is v-u=(6-u) km/h. For distance S, time taken in still water to cover the distance = S/6 seconds. For same distance S, time taken while going against the current = S/(6-u) seconds. According to given, S/(6-u) = 3*(S/6) => 1/(6-u) = 1/2 => 6-u = 2 => u=4 km/h. So, the speed of the current is 4 km/h. [/QUOTE]
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