Problema Solution
A boat travels upstream 7 kilometers per hour and downstream at 19 kilometers per hour. What is the current and how fast would you be going if there is no current.
Answer provided by our tutors
let
v = mph the speed of the boat in still water (no current)
c = the current of the stream
the speed upstream is: v - c = 7 km/h
the speed downstream is: v + c = 19 km/h
by solving the system of equations
v - c = 7
v + c = 19
we find
v = 13 km/h
c = 6 km/h
click here to see the step by step solution of the system of equations
the speed of the current is 6 km/h.
if there is no current the boat will travel with a speed of 13 km/h.