Traveling with the current a certain boat went 12 km/h. against the same current it only went 2 km/h. find the speed of the boat in still water and the speed of the current.

The speed of the boat is 7 km/h and thes peed of the current is 5 km/h;

Step-by-step explanation:

We don't know neither the speed of the boat nor the speed of the current, so let:

speed of the boat = x;

speed of the current = y;

If the boat is travelling with the current we know that those two speed are adding up, therefore we can conclude that:

x + y = 12;

But If the boat is travelling against the current we know that we have to subtract them, therefore:

x - y = 2;

Now we've a system of equations with the same two variables, therefore, by substitution method (or any other method) we can find the variables:

So using the first equation, we get that:

And substituting that x to the second equation we get:

So we can conclude that the speed of the current is 5 km/h.

And now with that answer, using equation 1, we can solve the speed of the boat.

the answer will be b x² +x-1

step-by-step explanation: