Problema Solution

A rowing team rowed an average of 16.6 miles per hour with the current and 10.2 miles per hour against the current. Determine the team's rowing speed in still water and the speed of the current.

Answer provided by our tutors

let


v = team's rowing speed in still water

c = the speed of the current


v + c = 16.6 mph is the speed of the team when going with the current

v - c = 10.2 mph is the speed of the team when going against the current


by solving the system of equations


v + c = 16.6

v - c = 10.2


we find


c = 3.2 mph is the speed of the current


v = 13.4 mph is the team's rowing speed in still water


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