Question 877130
A boat traveled 32 miles downstream and back. The trip downstream took two hours. The trip back took four hours. Find the speed of the boat in still water and the speed of the current.
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let x=speed of boat in still water
let c =speed of current
(x+c)=speed of boat downstream
(x-c)=speed of boat upstream
travel time=distance/speed
32/(x+c)=2
32/(x-c)=4
..
2x+2c=32
4x-4c=32
..
4x+4c=64
4x-4c=32
add
8x=96
x=12
2c=32-2x=32-24=8
2c=8
c=4
speed of boat in still water=12 mph
speed of current=4 mph