Problema Solution
Traveling with the current a certain boat went 11 km/h. Against the same current it only went 3 km/h. What is the speed of the current? How fast would the boat go if there were no current?
Answer provided by our tutors
let
v = the rate of the boat in still water
c = the rate of the current
d = the distance traveled in one direction
the canoe's speed downstream: v + c = 11 km/h
the canoe's speed upstream: v - c = 3 km/h
by solving the system
v + c = 11
v - c = 3
we find
v = 7 km/h
c = 4 km/h
click here to see the step by step solution of the system of equations
the speed of the current is 4 km/h.
the speed of the boat without current is 11 km/h.