SOLUTION: A cruise ship can sail 24mph in calm water. sailing with the gulf stream, the ship can sail 248mi in the same amount of time as it takes to sail 136mi against the gulf stream. Find

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Question 629203: A cruise ship can sail 24mph in calm water. sailing with the gulf stream, the ship can sail 248mi in the same amount of time as it takes to sail 136mi against the gulf stream. Find the rate of the gulf stream.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A cruise ship can sail 24mph in calm water. sailing with the gulf stream, the ship can sail 248mi in the same amount of time as it takes to sail 136mi against the gulf stream. Find the rate of the gulf stream.
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With the g. stream DATA:
distance = 248 miles ; rate = 24+g mph ; time = d/r = 248/(24+g) hrs
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Against the g.stream DATA:
distance = 136 miles ; rate = 24-g mph ; rime = d/r = 136/(24-g) hrs
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Equation:
time = time
248/(24+g) = 136/(24-g)
Cross-multiply:
248(24-g) = 136(24+g)
248*24 - 248g = 136*24 + 136g
384g = 112*24
gulf stream rate = 7 mph
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Cheers,
Stan H.
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