SOLUTION: Traveling downstream, a boat can go 12 miles in 2 hours. Going upstream, it makes only 2/3 this distance in twice the time. What is the rate of the boat in still water, and what is
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-> SOLUTION: Traveling downstream, a boat can go 12 miles in 2 hours. Going upstream, it makes only 2/3 this distance in twice the time. What is the rate of the boat in still water, and what is
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Question 522559: Traveling downstream, a boat can go 12 miles in 2 hours. Going upstream, it makes only 2/3 this distance in twice the time. What is the rate of the boat in still water, and what is the rate of the current? Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! downstream, a boat can go 12 miles in 2 hours.
Going upstream, 12* 2/3 =>8 miles in 4 hours
let boat speed = x
current speed =y
upstream speed = x-y
down stream speed = x+y
d/r=t
downstream
12/(x+y)=2
2x+2y=12
x+y=6.....1
upstream
8/(x-y)=4
4x-4y=8
x-y=4...........2
Add equation (1) & (2)
2x=10
x=5 mph
so y= 1
Boat speed = 5 mph, current speed = 1mph
m.ananth@hotmail.com
