SOLUTION: a cabin cruiser traveling with the current went 120 km in 3 h. Against the current it took 5 h to travel the same distance. please find the rate of the cabin cruiser in still water

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: a cabin cruiser traveling with the current went 120 km in 3 h. Against the current it took 5 h to travel the same distance. please find the rate of the cabin cruiser in still water      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 703547: a cabin cruiser traveling with the current went 120 km in 3 h. Against the current it took 5 h to travel the same distance. please find the rate of the cabin cruiser in still water and the rate of the current. thank you a ton
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a cabin cruiser traveling with the current went 120 km in 3 h. Against the current it took 5 h to travel the same distance. please find the rate of the cabin cruiser in still water and the rate of the current.
---------------------
With Current DATA:
distance = 120 km ; time = 3 hr ; rate = 120/3 = 40 km/hr
-------
Against Current DATA:
distance = 120 km ; time = 5 hr ; rate = 120/5 = 24 km/hr
==============================
Equation:
With:::: b + c = 40 km/hr
Against: b - c = 24 km/hr
--------
Add and solve for "b":
2b = 64
b = 32 km/hr (speed of the boat in still water)
---
Solve for "c":
b + c = 40
32 + c = 40
c = 8 km/hr (speed of the current)
=====================================
Cheers,
Stan H.
=====================