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A motorboat travels 558 km in 6 hours going upstream and 1016 km in 8 ours going downstream What is the rate of the boat in still water and what is the rate of the current?
Wiki User
∙ 13y ago
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.
Wiki User
∙ 13y ago
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What is the greatest velocity that a boat on a river can attain if the boat's motor moves at 10 km per hr and the river's current is 8 km per hr?
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