A boat traveled 210 miles downstream and back. the trip downstream took 10 hours. the trip back took 70 hours. What is the speed of the boat in still water? What is the speed of the current?
Let the speed if boat in still water=x mi/h
speed of current=y mi/h
So the speed of the boat downstream=x+y
The speed of the boat upstream=x-y
The times are given, the distance is given
210/(x+y)=10 ( for upstream)
210/(x-y)=70 ( for downstream)
210=10(x+y)
210=70(x-y)
Solving, x=12 y=9
The speed of boat is 12mi/h in still water, and the speed of still water is 8mi/h
so,