SOLUTION: A cruise ship can sail 25 mph in calm water. Sailing with the Gulf Stream, the ship can sail 217 mi in the same amount of time it takes to sail 133 mi against the Gulf Stream. Find

Algebra ->  Equations -> SOLUTION: A cruise ship can sail 25 mph in calm water. Sailing with the Gulf Stream, the ship can sail 217 mi in the same amount of time it takes to sail 133 mi against the Gulf Stream. Find      Log On


   

Question 1173900: A cruise ship can sail 25 mph in calm water. Sailing with the Gulf Stream, the ship can sail 217 mi in the same amount of time it takes to sail 133 mi against the Gulf Stream. Find the rate of the Gulf Stream.
Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the rate of the Gulf Stream.


Then from the condition, you have this time equation


    217%2F%2825%2Bx%29 = 133%2F%2825-x%29.


To solve it, cross-multiply


    217*(25-x) = 133*(25+x)

    217*25 - 217x = 133*25 + 133*x

    217*25 + 133*25 = 217x + 133x

           x = %28217%2A25-133%2A25%29%2F%28217%2B133%29 = 6.


ANSWER.  The rate of the Gulf Stream is 6 miles per hour, according to given data.

Solved.