SOLUTION: A kayak can travel 24 miles downstream in four hours, while it would take 12 hours to make the same trip upstream. Find the speed of the kayak in still water , as well as the speed
Algebra.Com
Question 885470: A kayak can travel 24 miles downstream in four hours, while it would take 12 hours to make the same trip upstream. Find the speed of the kayak in still water , as well as the speed of the current. Hint make a table and recall d=r*t
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A kayak can travel 24 miles downstream in four hours, while it would take 12 hours to make the same trip upstream. Find the speed of the kayak in still water , as well as the speed of the current.
***
let x=speed of kayak in still water
let c=speed of current
x+c=speed of kayak downstream
x-c=speed of kayak upstream
travel time*speed=distance (same for upstream and downstream)
..
4(x+c)=24
12(x-c)=24
..
4x+4c=24
12x-12c=24
..
12x+12c=72
12x-12c=24
add
24x=96
x=4
4c=24-4x=8
c=2
speed of kayak in still water=4 mph
speed of current=2 mph
RELATED QUESTIONS
A kayak can travel 24 miles downstream in 2 hours, while it would take 12 hours to... (answered by mananth)
A kayak can travel 18 miles downstream in 3 hours, while it would take 9 hours to make... (answered by lwsshak3)
a kayak can travel 48 miles downstream in 4 hours, while it would take 8 to make the same (answered by Alan3354)
A kayak can travel 48 miles downstream in 4 hours, while it would take 24 hours to... (answered by josgarithmetic,ankor@dixie-net.com,greenestamps)
A kayak can travel 12 miles downstream in 2 hours, while it would take 6 hours to make... (answered by Alan3354)
A kayak can travel 64 miles downstream in 8 hours, while it would take 32 hours to make... (answered by josgarithmetic)
A kayak can travel 16 miles downstream in 2 hours, while it would take 4 hours to... (answered by stanbon)
A kayak can travel 32 miles downstream in 4 hours, while it would take 8 hours to... (answered by Boreal)
A kayak can travel 30 miles downstream in 5 hours, while it would take 15 hours to... (answered by ikleyn)