SOLUTION: A riverboat travelling with the current can go 30 km in 1 hour, on the return trip against the current it took 1.5 hours to travel the 30 km. Which of the following would represent

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: A riverboat travelling with the current can go 30 km in 1 hour, on the return trip against the current it took 1.5 hours to travel the 30 km. Which of the following would represent      Log On


   

Question 1199502: A riverboat travelling with the current can go 30 km in 1 hour, on the return trip against the current it took 1.5 hours to travel the 30 km. Which of the following would represent a linear system that could be used to determine the speed of the riverboat and the current where x is the speed of the riverboat and y is the speed of the current?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, speed of boat in absence of a current
y, the speed of river current
Same distance each way 

                      SPEED        TIME     DISTANCE(k.m.)

WITH CURRENT           x+y         1         30

AGAINST CURRENT        x-y         1.5       30

RATE%2ATIME=DISTANCE---------basic rule

Notice time for "with current" is 1 hour...

system%28x%2By=30%2C%283%2F2%29%28x-y%29=30%29------Or whatever is equivalent.

You might try, system%28x%2By=30%2C3%28x-y%29=60%29.


Better still, system%28x%2By=30%2Cx-y=20%29.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
A riverboat travelling with the current can go 30 km in 1 hour, on the return trip against the current it took 1.5 hours to travel the 30 km. Which of the following would represent a linear system that could be used to determine the speed of the riverboat and the current where x is the speed of the riverboat and y is the speed of the current?