Problema Solution

a motorboat moves 25 miles per hour instill water. it travels 21 miles upstream and 21 miles downstream in a total time of 2.0 hours. what is the speed of the current?

Answer provided by our tutors

we will use the formula


t = S/v


where t is time, s is the distance and v is the speed.


let


c = the speed of the current

b = 25 mph the speed of the boat in still water

S = 21 miles the distance that the boat travels

t = 2.0 hours


(the time spent traveling 21 miles downstream with speed 25 + c) + ((the time spent traveling 21 miles upstream with speed 25 - c) = 2 hours


21 / (25 + c) + 21 / (25 - c) = 2


by solving this equation we find


c = - 10 is not a solution since c > 0


c = 10 mph is the solution


The speed of the current is 10 mph.