Question 385891:  A boat'screw rowed 20 miles downstream, with the current, in 2 hours. The return upstream, against the current, covered the same distance, but took 5 hours. Find the crew's rowing rate in still water and the rate of the current. 
The crew's rowing rate is still water is ____ mile(s) per hour. 
The rate of the current is ____ mile(s) per hour. 
 Answer by mananth(16946)      (Show Source): 
You can  put this solution on YOUR website! A boat'screw rowed 20 miles downstream, with the current, in 2 hours. The return upstream, against the current, covered the same distance, but took 5 hours. Find the crew's rowing rate in still water and the rate of the current. 
The crew's rowing rate is still water is ____ mile(s) per hour. 
The rate of the current is ____ mile(s) per hour. 
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boat rate in still water = x 
current rate = y 
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Rate 
upstream = x-y 
downstream = x+y 
.. 
time downstream = time upstream 
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t=d/r 
20/(x+y)=2 
multiply by (x+y) 
20=2(x+y) 
/2 
10=x+y 
x+y=10.................1 
.. 
20/(x-y)=5 
20=5(x-y) 
/5 
4=x-y 
x-y =4..................2 
... 
add 1 & 2 
2x=14 
/2 
  mph boat rate in still water. 
  mph rate of current 
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m.ananth@hotmail.ca
 
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