The speed of boat is 11 km/h in still water and speed of current is 7 km/h.
Step-by-step explanation:
Combined speed of boat and current while going down = 18 km/h
Combined speed while coming up = 4 km/h
Let,
Speed of boat = x
Speed of current = y
As boat and current were in same direction while going down,
x+y = 18 Eqn 1
We will subtract the speed of current while coming up because both the boat and current will be in opposite directions.
x-y = 4 Eqn 2
Adding Eqn 1 and Eqn 2
[tex](x+y)+(x-y)=18+4\\x+y+x-y=22\\2x=22[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{22}{2}\\x=11[/tex]
Putting x=11 in Eqn 1
[tex]11+y=18\\y=18-11\\y=7[/tex]
The speed of boat is 11 km/h in still water and speed of current is 7 km/h.
Keywords: linear equation, speed
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