Question

A fish can swim at 14m/s with the current and at 6m/s against it. Find the speed

of the current and the speed of the fish in still water.

Answer 1

10 m/s

Explanation:

Let x = speed of fish and y = speed of current. When swimming with current, the fish's speed is x + y. When swimming against it, the speed is x - y. Therefore, we can set up a system of linear equations to solve for x, the speed of fish.

x + y = 14

x - y = 6

2y = 8

y = 4

x - 4 = 6

x = 10

The speed of fish in still water is 10 m/s, and the speed of current is 4 m/s.

Answer 2

Speed of fish in still water = 10 m/s

Speed of current = 4 m/s

Explanation:

Let the speed of the fish in still water = x m\s

Let the speed of the current = y m/s

Speed of the fish with the current = x + y

x +y = 14 m/s ------------------(I)

Speed of the fish against current = x -y

x - y = 6 m/s ----(II) &

Add the equations (I) & (II) and 'y' will be eliminated and we can find the value of 'x'.

x + y = 14

x - y = 6 {Now, add)

2x = 20

x = 20/2

x = 10

`\sf \boxed{\text{\bf Speed of fish in still water = 10 \ m / s}}`

Plugin x = 10 in equation (I)

10 + y = 14

y = 14 - 10

y = 4

`\sf \boxed{\text{\bf Speed of the current = 4 \ m/s}}`