SOLUTION: Alonzos boat has a top speed of 20 miles per hour in still water. While traveling on a river at top speed, he went 40 miles upstream in the same amount of time he went 60 miles dow

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Question 1124064: Alonzos boat has a top speed of 20 miles per hour in still water. While traveling on a river at top speed, he went 40 miles upstream in the same amount of time he went 60 miles downstream. Find the rate of the river current.
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x = the rate of the river current, in miles per hour.


Then the effective rate downstream is  (20+x) mph, 
while the effective rate upstream  is  (20-x) mph.


The time traveling 40 miles upstream   is  40%2F%2820-x%29.

The time traveling 60 miles downstream is  60%2F%2820%2Bx%29.


The times are equal, so you have an equation


    40%2F%2820-x%29 = 60%2F%2820%2Bx%29.


To solve it, multiply both sides by  20-x)*(20+x). You will get


    40*(20+x) = 60*(20-x),

    800 + 40x = 1200 - 60x

    40x + 60x = 1200 - 800

    100x = 400   ======>  x = 400/100 = 4.


Answer.  The rate of the river current is 4 miles per hour.