Question

A boat traveled 252 miles downstream and back the trip downstream took 12 hours the trip back took 84 hours what is the speed of the boat in still water what is the speed of the current

Answer 1

Still water=11.2mph and Current=9.8mph

Explanation:

Let V=still

Let c=current

12(v+c)=252

84(v-c)=252

Simplify

12v+12c=252

84v-84c=252

Multiply first x7 to make it

96v+84c=1764

84v-84c=252

Now add them

180v=2016

Divide 180 on both sides

so V=12

Now plug it into equation

134.4+12c=252

now subtract 134.4 from 252 and get

12c=117.6

and c=9.8

Hope this helps Thanks!

Answer 2

The boat traveled 252 miles downstream, so it means that the distance traveled by the boat is 252 miles. The speed of the boat is exactly 21 miles per hour and in going back is 3 miles per hour.  In my prediction, the speed of the current should not be greater than 3 miles per hour. So the best answer would be 2 miles per hour.