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dsp73
3 years ago
9

The speed of the current is 7 mph. The boat travels three times slower against the current than with the current. What is the sp

eed of the boat in still water?
Mathematics
1 answer:
svlad2 [7]3 years ago
7 0
Let
x--------> <span>the speed of the boat in mph

we know that
</span>going upstream the speed is x-7 
<span>going downstream the speed is x+7 
</span>
let the distance be d 
<span>time to go upstream = d/(x-7) </span>
<span>time to go downstream = d/(x+7)
</span>
time going upstream is 3 times going downstream 
so
<span>3d/(x+7) = d/(x-7) </span>
<span>divide by d </span>
<span>3/(x+7) = 1/(x-7) </span>
<span>3x-21 = x+7 </span>
<span>2x = 28 </span>
<span>x = 14 
</span>
the answer is
<span>the speed of the boat in still water is 14 mph</span>
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