SOLUTION: a cruise ship travled 275 miles with the current in the same amount of time it traveled 175 miles against the current. THe speed of the current was 10 mph what was the speed of the

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Question 972713: a cruise ship travled 275 miles with the current in the same amount of time it traveled 175 miles against the current. THe speed of the current was 10 mph what was the speed of the cruise ship while it was traveling against the current?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
a cruise ship traveled 275 miles with the current in the same amount of time it traveled 175 miles against the current. THe speed of the current was 10 mph what was the speed of the cruise ship while it was traveling against the current?
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With current DATA:
dist = 275 miles; time = x hrs ; rate = 275/x mph
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Agaiinst current DATA:
dist = 175 miles ; time = x hrs ; rate = 175/x mph
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Equations:
With current:: b + 10 = 275/x
Against curr:: b - 10 = 175/x
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Subtract and solve for "x"
20 = 100/x
x = 5 hrs
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Solve for "b"::
b + 10 = 275/x
b + 10 = 275/5
b + 10 = 55
boat speed = 45 mph
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Cheers,
Stan H.
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