SOLUTION: A boat traveled 336 miles downstream and back. The trip downstream took 12 hours. The trip back took 14 hours. What is the speed of the boat in still water? What is the speed of th
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Question 320853: A boat traveled 336 miles downstream and back. The trip downstream took 12 hours. The trip back took 14 hours. What is the speed of the boat in still water? What is the speed of the current?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
A boat traveled 336 miles downstream and back.
downstream took 12 hours.
trip back took 14 hours.
..
let speed of boat be x mph
let pseed o f current be y mph
..
downstream
336/ x+y= 12
12(x+y)=336
12x+12y=336
x+y=28.......equation 1
upstream
336/x-y=14
336=14x-14y
x-y=24........equation2
Add equation 1 & 2
x+y+x-y=28+24
2x=52
x=26 mph the speed of boat
plug the value of x in eq 2
26-y=24
y=2 mph the speed of current
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