SOLUTION: The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water
Question 48348: The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water? Answer by venugopalramana(3286) (Show Source):
You can put this solution on YOUR website! The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water?
let the boat speed in still water =b
speed of water be =3
speed up river =b-3..time to travel 60 miles=60/(b-3)
speed down river =b+3..time to travel down river=60/(b+3)
total time =60[{1/(b+3)}+{1/(b-3)}]=9
60*(b+3+b-3)=9(b+3)(b-3)
40b=3(b^2-9)=3b^2-27
3b^2-40b-27=0
b=13.978 mph
