One boat traveling 15 mph goes 36 miles downstream in the same amount of time that the other boat going 20 mph goes 34 miles upstream. how fast is the current in mph? enter only the numerical result.

Speed of current = 3

Step-by-step explanation:

Let the speed of current be 'x'.

Given:

Speed of first boat in still water (s) = 15 mph

Distance traveled by the first boat (d) = 36 miles

Downstream speed =

Speed of the second boat in still water (S) = 20 mph

Distance traveled by the (D) = 34 miles

Upstream speed =

Now, as per question, time for downstream of first boat is equal to time for upstream of second boat.

So, Time taken by first boat downstream is given as:

Time taken by second boat upstream is given as:

Since, time taken is same. Therefore, equating (1) and (2), we get

Using cross multiplication, we get:

Therefore, the speed of the current is 3 mph.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

congruent segments

step-by-step explanation: