SOLUTION: A boat travels 48 miles upstream in 6 hours. Going down stream it can travel 72 miles in the same amount of tume. Find the speed of the current and speed of the boat in still wate

Algebra ->  Systems-of-equations -> SOLUTION: A boat travels 48 miles upstream in 6 hours. Going down stream it can travel 72 miles in the same amount of tume. Find the speed of the current and speed of the boat in still wate      Log On


   

Question 993214: A boat travels 48 miles upstream in 6 hours. Going down stream it can travel 72 miles in the same amount of tume. Find the speed of the current and speed of the boat in still water
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A boat travels 48 miles upstream in 6 hours. Going down stream it can travel 72 miles in the same amount of tume. Find the speed of the current and speed of the boat in still water
let x=speed of boat in still water
let c=speed of current
(x+c)=speed of boat downstream
(x-c)=speed of boat upstream
travel time*speed=distance
6*(x+c)=72
6*(x-c)=48
6x+6c=72
6x-6c=48
12x=120
x=10
6c=72-60
6c=12
c=2
speed of boat in still water=10 mph
let c=speed of current=2 mph