Problema Solution

A rowing team rowed and average of 13.8 miles per hour with the current and 7.4 miles per hour against the current. Determine the teams rowing speed in still water and the speed of the current.

Team rowing speed in still water=

The speed of the current =

Answer provided by our tutors

let


v = the teams rowing speed in still water

c = the speed of the current


rowing with the current the speed of the boat is:


v + w = 13.8


rowing against the current the speed of the boat is:


v - w = 7.4


by solving the system of equations


v + w = 13.8

v - w = 7.4


we find


v = 10.6 mph


c = 3.2 mph


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Team rowing speed in still water= 10.6 mph.

The speed of the current = 3.2 mph.