SOLUTION: A boat took 2 hours to travel a certain distance upstream against a 3 km/h
current. Returning downstream with the same current, the boat traveled an
additional 2 km in 1 hour
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: A boat took 2 hours to travel a certain distance upstream against a 3 km/h
current. Returning downstream with the same current, the boat traveled an
additional 2 km in 1 hour
Log On
Question 360000: A boat took 2 hours to travel a certain distance upstream against a 3 km/h
current. Returning downstream with the same current, the boat traveled an
additional 2 km in 1 hour and 20 minutes. What was the boat's speed? How far
did the boat go upstream? Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! A boat took 2 hours to travel a certain distance upstream against a 3 km/h
current. Returning downstream with the same current, the boat traveled an
additional 2 km in 1 hour and 20 minutes. What was the boat's speed? How far
did the boat go upstream?
...
rate boat =x
rate current =3
...
upstream rate = x-3
downstream rate = x+3
...
upstream distance = 2*(x-3) km
downstream distance = 2(x-3) +2 km
time down stream = 4/3 hours
downstream rate = (2(x-3)+2) / (4/3)
=(2x-4)/(4/3)
=(2x-4)*3/4
=(6x-12)/4
...
(6x-12)/4=x+3
6x-12=4(x+3)
8x-12=4x+12
4x=24
x= 6 km/h speed of boat
upstream rate = 6-3=3 km/h
..
3 *2 = 6 km upstream distance
...
m.ananth@hotmail.ca
