SOLUTION: If a boat goes downstream 72 miles in 3 hours and upstream 60 miles in 6 hours, the rate of the river and the rate of the boat in still water respectively are?
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Question 186957: If a boat goes downstream 72 miles in 3 hours and upstream 60 miles in 6 hours, the rate of the river and the rate of the boat in still water respectively are?
You can put this solution on YOUR website! Let the velocity of boat in still water = b and velocity of river = r
Downstream velocity = b + r = 27/3 = 24 mph
Upstream velocity = b – r = 60/10 = 10 mph
Adding the above two equations we get 2b = 24 + 10 = 34
So b 34/2 = 17 mph. Plugging this value into the first equation we get
17+ r = 24 ; r = 24 – 17 = 7 mph
Answer is the river flows at 7 miles per hour and the boat goes in still water at the rate of 17 miles per hour
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