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A riverboat travels km downstream in hours. It travels km upstream in hours. Find the speed of the boat and the speed of the stream.

Sagot :

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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