Answer:
[tex]2\text{ mph}[/tex]
Step-by-step explanation:
GIVEN: kayden paddled a canoe to an island. the island is [tex]8[/tex] miles from the shore. his trip to the island took two hours while paddling against the current. he paddles [tex]6[/tex] mph with no current.
TO FIND: what was the speed of the current.
SOLUTION:
distance of island from the shore [tex]=8[/tex] miles
total time taken by Kayden [tex]=2[/tex] hours
speed of Kayden in still water [tex]=6\text{ mph}[/tex]
Let the speed of current be [tex]x[/tex]
Speed of Kayden against current [tex]=6-x\text{ mph}[/tex]
As,
[tex]\text{Time}=\frac{\text{Distance}}{\text{speed}}[/tex]
[tex]2=\frac{8}{6-x}[/tex]
[tex]12-2x=8[/tex]
[tex]x=2\text{ mph}[/tex]
Hence speed of current is [tex]2\text{ mph}[/tex]
