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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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!

Answered Same DayDec 23, 2021

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

Robert answered on Dec 23 2021
130 Votes
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
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