The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and...

Question

The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total times of 9 hours. What is the speed of the boat in still water?
Solve and show the formula. Thanks!

Robert · Accepted Answer

Let the speed of the boat in still water be x. 
Time=Distance/Speed 
Time upstream=(60/x-3) 
Time downstream=(60/x+3) 
Total time=9 
(60/x-3)+ (60/x+3)=9 
[60(2x)/x2-9]=9 
[40x/ x2-9]=3 
3x2-40x-27=0 
X=[40+√     ( )( )(  )]/6 
Solving we get x=13.98 miles/hr

The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total times of 9 hours. What is the speed of the boat in still water? Solve and show the...

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