SOLUTION: A boat travels 30 miles upstream in 5 hours. Going downstream, it can travel 60 miles in the same amount of time. Find the speed of the current and the speed of the boat in still w

Question 476395: A boat travels 30 miles upstream in 5 hours. Going downstream, it can travel 60 miles in the same amount of time. Find the speed of the current and the speed of the boat in still water.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A boat travels 30 miles upstream in 5 hours.
Going downstream, it can travel 60 miles in the same amount of time.
Find the speed of the current and the speed of the boat in still water.
:
Let c = speed of the current
Let s = speed of the boat in still water
:
Write two distance equations: dist = time * speed
:
5(s - c) = 30
5(s + c) = 60
Simplify, divide both equations by 5, results
s - c = 6
s + c = 12
--------------addition eliminates c, find s
2s = 18
s =
s = 9 mph in still water
then
9 + c = 12
c = 12 - 9
c = 3 mph is the speed of the current
:
:
Check in both equation
5(9 - 3) = 30
5(9 + 3) = 60
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