Question

3) Tim, an open water swimmer, is training for the Olympics. To do so, he swims in a stream that is

3m/h. Tim finds that he can swimn 4 miles against the current in the same amount of time that he
can swith 10 miles with the current. How fast can Tim swim with no current?

Answer 1

Tim can swim with no current at a speed of 1.72 m/h.

Step-by-step explanation:

To determine how fast Tim can swim with no current, we need to solve a system of equations.

Let T be the time it takes for Tim to swim 4 miles against the current and C be the speed of the current.

Against the current, Tim's effective speed is (3 - C) m/h, and he covers a distance of 4 miles, so we have the equation:

(3 - C) * T = 4

With the current, Tim's effective speed is (3 + C) m/h, and he covers a distance of 10 miles, so we have the equation:

(3 + C) * T = 10

To solve this system of equations, we can use substitution or elimination method. Let's use the elimination method:

Expanding both equations, we get:

3T - CT = 4

3T + CT = 10

Adding the two equations together, the variable C cancels out:

6T = 14

Dividing both sides by 6, we find:

T = 14/6 = 2.33 hours

Now we can substitute the value of T back into one of the original equations to solve for C:

(3 - C) * 2.33 = 4

Expanding, we get:

6.99 - 2.33C = 4

Subtracting 6.99 from both sides, we get:

-2.33C = -2.99

Dividing both sides by -2.33, we find:

C = 1.28 m/h

Therefore, Tim can swim with no current at a speed of 3 m/h - 1.28 m/h = 1.72 m/h.

Answer 2

i believe he can swim 7m/h

Step-by-step explanation:

hope this can help