SOLUTION: A boy can row a boat at a constant rate of 5 mi/hr in still water, as indicated in the figure. He rows upstream for 24 minutes and then rows downstream, returning to his starting p

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Question 899643: A boy can row a boat at a constant rate of 5 mi/hr in still water, as indicated in the figure. He rows upstream for 24 minutes and then rows downstream, returning to his starting point in another 16 minutes. (Round your answers to two decimal places.)

(a) Find the rate of the current.
mi/hr
(b) Find the total distance traveled.
mi
upstream= 5-x mi/hr
downstream= 5+x mi/hr
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Uniform Rates for Travel, RT=D for rate, time, distance.

___________________speed_________time____________distance
UP_________________5-x___________24/60=6/15______(5-x)(6/15)
DOWN_______________5+x___________16/60=4/15______(5+x)(4/15)

The distances up and down are equal.
%285-x%29%286%2F15%29=%285%2Bx%29%284%2F15%29