Question 885906
A cruise ship can sail 30 mph in calm water. Sailing with the Gulf Stream, the ship can sail 245 mi in the same amount of time it takes to sail 175 mi against the Gulf Stream. Find the rate of the Gulf Stream.
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let x=rate of speed of Gulf Stream
30+x=rate of speed of cruise ship sailing with the Gulf Stream.
30-x=rate of speed of cruise ship sailing against the Gulf Stream
travel time=distance/speed
..
{{{245/(30+x)=175/(30-x)}}}
175(30+x)=245(30-x)
5250+175x=7350-245x
420x=2100
x=5
rate of speed of Gulf Stream=5 mph