SOLUTION: a boat took 4 hours to make a downstream trip with a 6 km/h current. the return trip against the current took 5 hours. what distance did the boat ravel in one direction?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a boat took 4 hours to make a downstream trip with a 6 km/h current. the return trip against the current took 5 hours. what distance did the boat ravel in one direction?      Log On


   



Question 875051: a boat took 4 hours to make a downstream trip with a 6 km/h current. the return trip against the current took 5 hours. what distance did the boat ravel in one direction?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
a boat took 4 hours to make a downstream trip with a 6 km/h current. the return trip against the current took 5 hours. what distance did the boat travel in one direction?
***
let x=average speed of boat
x+6=speed of boat downstream
x-6=speed of boat upstream
distance=travel time*speed
...
4(x+6)=5(x-6)
4x+24=5x-30
x=54
x+6=60 (speed of boat downstream)
4*60=240
or
x-6=48 (speed of boat upstream)
5*48=240
distance boat traveled in one direction=240 km