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The boat’s speed when in water is = 20km/hr. The stream’s speed is = 3km/hr
The Riverboat
Downstream= 46km and 2 hours
Upstream= 51km and 3 hours
Speed of the boat?
Let
X= the boat’s speed when it is in the water
C= the stream’s speed
(X+C)= the boat’s speed downstream
(X-C)= the boat’s speed upstream
Distance/speed=time
46/(x+c) = 2
51/ (x-c) = 3
2x + 2c = 46
3x – 3c = 51
6x + 6c = 138 (×3)
6x – 6c = 102 (×2)
Add
12x= 240
x=20
2c = 46-2x = 46 – 40= 6
c = 3
Therefore;
The boat’s speed when in water is = 20km/hr
The stream’s speed is = 3km/hr
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