SOLUTION: a streamer,going downstream in a river, covers the distance between 2 towns in 15 hrs. coming backbupstream, it covers this distance in 20 hrs. the speed of the water is 3 km/hr.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: a streamer,going downstream in a river, covers the distance between 2 towns in 15 hrs. coming backbupstream, it covers this distance in 20 hrs. the speed of the water is 3 km/hr.       Log On

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Question 827271: a streamer,going downstream in a river, covers the distance between 2 towns in 15 hrs. coming backbupstream, it covers this distance in 20 hrs. the speed of the water is 3 km/hr. find the distance between two towns.
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
Set x = speed without current
set d = distance
Going downstream
rate * time = distance
(x+3)15 = d so 15x + 45 = d
(x-3)20 = d, 20x - 60 = d
Since 15x + 45 = d and 20x - 60 = d
15x + 45 = 20x - 60
subtract 15x from each side
45 = 5x - 60
add 60 to each side
105 = 5x
divide 5 by each side
21 = x
substitute 21 for x in (x+3)15 = d
(21+3)(15) = d
(24)(15) = d
d = 360