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B = boatspeed

C = current speed

6 (B-C) = 558

8 (B+C) = 1,016

Eliminate parentheses:

6B - 6C = 558

8B + 8C = 1,016

Divide both sides of the first equation by 6.

Divide both sides of the second equation by 8.

B - C = 93

B + C = 127

Add the equations:

2B = 220

B = 110 kph

Subtract the equations:

-2C = -34

C = 17 kph

The current is rather speedy, and the boat even speedier ... 68.3 mph in still water ! ! !

Suspicious vis a vis the real world, but the math is bullet-proof.

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