SOLUTION: The speed of the current in a river is 5 miles per hour. A boat leaves a dock on the bank of the river, travels upstream 25 miles, and returns to the dock in 12 hours. What is th
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Question 729969: The speed of the current in a river is 5 miles per hour. A boat leaves a dock on the bank of the river, travels upstream 25 miles, and returns to the dock in 12 hours. What is the speed of the boat in still water?
Found 2 solutions by lynnlo, Finavon:
Answer by lynnlo(4176) (Show Source): You can put this solution on YOUR website!
Answer by Finavon(81) (Show Source): You can put this solution on YOUR website!
Boat speed: x mph
Total time =
Multiply by (x-5)*(x+5)
25*(x+5) + 25*(x-5) = 12*(x-5)*(x+5)
Solves for
Real x = 90/12 = 7.5 mph
Check:
25 miles @ 2.5 mph 10 hrs
25 miles @ 12.5 mph 2 hours
Total 12 hrs
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