Question 614000: A boat travels 120 km downstream in 4 hours and takes 6 hours to return. How long will it take in still water?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! A boat travels 120 km downstream in 4 hours and takes 6 hours to return.
How long will it take in still water?
:
Let s = boat speed in still water
Let c = rate of the current
:
Write a distance equation; dist = speed * time, for each scenario>
:
4(s + c) = 120
6(s - c) = 120
;
simplify, divide the 1st equation by 4, divide the 2nd equation by 6:
s + c = 30
s - c = 20
------------adding eliminates c, find s
2s = 50
s = 50/2
s = 25 km/h, speed in still water
:
You can find the rate of the current and check in both equations
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