Question

A canoe can go 24 km downstream in 3 hours. The return trip takes 4 hours. What is the speed of the current?

You will earn 2 points for writing the correct system of equations for this word problem.
Remember, two equations must be given for the system of equations.
You will earn 3 points for solving it correctly and answering the question in a complete sentence.

Answer 1

???

Answer 2

if v1 is canoe velocity and v2 is the river velocity. When canoe goes down stream means in the direction of river, the net velocity is the sum of v1+v2. similarly in the upstream v1-v2.
Distance is same in both cases i.e. 24 km. and time is in the down stream 3hrs and in the up stream 4 hrs.

distance = velocity * time.
down stream=> (v1+v2)* 3 = 24
up stream => (v1-v2)*4 = 24. By these equations we can easily solve for V1 and V2

Answer 3

v2 is current speed

Answer 4

NY,NY 0
Let s= still water. Let c = current speed. t = time. D = distance.

To have the canoe travel with the current (downstream), (s+c) t = D

To have the canoe travel against the current (upstream), (s-c) t = D
----
(s+c) t = D
(s+c) (3) = 24
(s+c) = 8

(s-c) t = D
(s-c) (4) = 24
-----
(s-c) = 6
+ (s+c) = 8
------------
2s + 0 = 14
s=7
----
(s+c) = 8
((7)+c) = 8
c=1

did you understand that ^^ ?

Answer 5

yes thank you

Answer 6

:)

Answer 7

No