| 
 
 
| 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.
 ...
 boat rate in still water = x
 current rate = y
 ...
 Rate
 upstream = x-y
 downstream = x+y
 ..
 time downstream = time upstream
 ...
 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 ...
 m.ananth@hotmail.ca
 ...
 
 | 
  
 | 
 |