Question 957182
A cruise ship can sail 25 mph in calm water. Sailing with the Gulf Stream, the ship can sail 256 mi in the same amount of time it takes to sail 144 mi against the Gulf Stream. Find the rate of the Gulf Stream.
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let c=rate of gulf stream
25+c=rate of ship sailing with Gulf Stream
25-c=rate of ship sailing against Gulf Stream
travel time=distance/rate (same in both directions)
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{{{256/(25+c)=144/(25-c)}}}
256(25-c)=144(25+c)
6400-256c=3600-144c
112c=2800
c=25
rate of gulf stream=25 mph