SOLUTION: Clark has a boat that can travel at 15 kph in still water. It can go 140km with the current at the same time it takes to travel 35 km against the current. What is the speed of the

Algebra ->  Rational-functions -> SOLUTION: Clark has a boat that can travel at 15 kph in still water. It can go 140km with the current at the same time it takes to travel 35 km against the current. What is the speed of the       Log On


   



Question 376030: Clark has a boat that can travel at 15 kph in still water. It can go 140km with the current at the same time it takes to travel 35 km against the current. What is the speed of the river? (Show the complete solution involving Rational Equation)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let speed of current be x kph
speed in still water = 15 kph
..
speed upstream = 15-x
speed downstream = 15+x
..
distance upstream = 35 km
distance downstream = 140 km.
..
time upstream = time downstream
..
t = d/r
35/(15-x) = 140/( 15+x)
cross multiply
35(15+x) =140(15-x)
525+35x=2100-140x
35x+140x=2100-525
175x=1575
/175
x= 1575/175
x = 9kmh ... speed of current
...
m.ananth@hotmail.ca