Answer: The speed of the current is 1.5 km/h .
Step-by-step explanation:
Let x = speed of current and y = speed of canoe.
Since , [tex]\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}[/tex]
As per given , we have
[tex]x+y=\dfrac{12}{2}\\\\ x+y=6......................(1)[/tex]
[tex]y-x=\dfrac{12}{4}\\ y-x=3...............(2)[/tex]
Adding (1) and (2) , we get
[tex]2y=9\\\Rightarrow\ y=\dfrac{9}{2}=4.5[/tex]
Put value of y in (1) , we get
[tex]x+4.5=6\\\Rightarrow\ x=1.5[/tex]
Hence, the speed of the current is 1.5 km/h .
