SOLUTION: a boat can sail 63 km with the current and only 45 km against the current in the same time. if the boat can travel 18 km per hour in still water, what is the rate of the current?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: a boat can sail 63 km with the current and only 45 km against the current in the same time. if the boat can travel 18 km per hour in still water, what is the rate of the current?      Log On


   



Question 547870: a boat can sail 63 km with the current and only 45 km against the current in the same time. if the boat can travel 18 km per hour in still water, what is the rate of the current?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
a boat can sail 63 km with the current and only 45 km against the current in the same time. if the boat can travel 18 km per hour in still water, what is the rate of the current?
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let x=speed of current
18+x=speed of boat with current
18-x=speed of boat against current
Travel time= distance/speed
..
63/(18+x)=45/(18-x)
63(18-x)=45(18+x)
1134-63x=810-45x
18x=324
x=18km/hr
Ans:
rate of current=18 km/hr