SOLUTION: 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

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
...

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