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Lifestyle
The Great Outdoors
consider a boat can travel with V speed in still water which trips elapsed time will
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<blockquote data-quote="AlgebratNinja" data-source="post: 1570354" data-attributes="member: 614471"><p>The answer is a.</p><p></p><p>Try a numeric example to prove this to yourself. The velocity vectors of the boat and the water add together.</p><p></p><p>Say for example the boat travels 10m/s and the water flows at 5m/s.</p><p>Use t=d/v to figure out the time it takes for a 1000m trip each way. Upstream v = 5m/s, so t=1000m/5m/s= 200s</p><p>Still water v = 10 m/s so t= 1000m/10m/s = 100s</p><p>Downstream v = 15 m/s so t = 1000m/15m/s = 66.66s</p><p></p><p>Now for the round trip:</p><p>Still water = 100s + 100s = 200s</p><p>Up/Down = 200s + 66.66 = 266.66s</p><p>Dn/Up = 66.66s + 200s = 266.66s</p></blockquote><p></p>
[QUOTE="AlgebratNinja, post: 1570354, member: 614471"] The answer is a. Try a numeric example to prove this to yourself. The velocity vectors of the boat and the water add together. Say for example the boat travels 10m/s and the water flows at 5m/s. Use t=d/v to figure out the time it takes for a 1000m trip each way. Upstream v = 5m/s, so t=1000m/5m/s= 200s Still water v = 10 m/s so t= 1000m/10m/s = 100s Downstream v = 15 m/s so t = 1000m/15m/s = 66.66s Now for the round trip: Still water = 100s + 100s = 200s Up/Down = 200s + 66.66 = 266.66s Dn/Up = 66.66s + 200s = 266.66s [/QUOTE]
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