# SOLUTION: The excursion boat on the river takes 2½ hours to make the trip to a point 12 miles upstream and to return. If the rate at which the boat travels in still water is 5 times the rate

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 Question 320479: The excursion boat on the river takes 2½ hours to make the trip to a point 12 miles upstream and to return. If the rate at which the boat travels in still water is 5 times the rate of the river current, what is the rate of the current?Answer by ankor@dixie-net.com(15622)   (Show Source): You can put this solution on YOUR website!The excursion boat on the river takes 2½ hours to make the trip to a point 12 miles upstream and to return. If the rate at which the boat travels in still water is 5 times the rate of the river current, what is the rate of the current? : let x = rate of the current and 5x = rate of the boat in still water then 5x - x = 4x; effective rate upstream and 5x + x = 6x; effective rate downstream : write a time equation, time = dist/speed : Upstream time + downstream time = 2.5 hrs + = 2.5 hrs reduce fractions + = 2.5 = 2.5 5 = 2.5x x = x = 2 mph is the rate of the current : : Check solution find the times; boat rate 2(5) = 10 mph 12/8 = 1.5 hr 12/12 = 1 hr ------------- total: 2.5 hr