Question

kayden paddled a canoe to an island. the island is 8 miles from the shore. his trip to the island took two hours while paddling against the curretn. he paddles 6 mph with no current. what was the speed of the current

Answer 1

`2\text{ mph}`

Explanation:

GIVEN: kayden paddled a canoe to an island. the island is
`8` miles from the shore. his trip to the island took two hours while paddling against the current. he paddles
`6` mph with no current.

TO FIND: what was the speed of the current.

SOLUTION:

distance of island from the shore
`=8` miles

total time taken by Kayden
`=2` hours

speed of Kayden in still water
`=6\text{ mph}`

Let the speed of current be
`x`

Speed of Kayden against current
`=6-x\text{ mph}`

As,

`\text{Time}=\frac{\text{Distance}}{\text{speed}}`

`2=(8)/(6-x)`

`12-2x=8`

`x=2\text{ mph}`

Hence speed of current is
`2\text{ mph}`