A rowing team rowed an average of 15.2 miles per hour with the current and 8.4 miles per hour against the current. Determine the team's rowing speed in still water and the speed of the current.

Team's rowing speed in still water: 11.8 miles per hour.

Speed of the current: 3.4 miles per hour.

Step-by-step explanation:

Let r represent team's rowing speed in still water and speed of current be c.

Rowing speed with current would be and rowing speed against current would be .

We have been given that a rowing team rowed an average of 15.2 miles per hour with the current. We can represent this information in an equation as:

We are also told that rowing team rowed an average of 8.4 miles per hour against the current. We can represent this information in an equation as:

Upon adding equation (1) and (2), we will get:

Therefore, teams's rowing speed in still water was 11.8 miles per hour.

Upon substituting in equation (1), we will get:

Therefore, speed of the current was 3.4 miles per hour.

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32

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