SOLUTION: #1: The speed of a stream is 6mph If a boat travels 54 miles downstream in the same time that it takes to travel 27 miles upstream, what is the speed of the boat in still water?

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Question 839076: #1:
The speed of a stream is 6mph
If a boat travels 54 miles downstream in the same time that it takes to travel 27 miles upstream, what is the speed of the boat in still water?
#2:
A cruise boat travels 12 miles downstream in 4 hours and returns to its starting point upstream in 6 hours.
Find the speed of the stream

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi
The speed of a stream is 6mph
If a boat travels 54 miles downstream in the same time that it takes to travel 27 miles upstream,
what is the speed of the boat in still water?
D = rt 0r t = D/r
Question states***
|Cross Multiply to solve for x
A cruise boat travels 12 miles downstream in 4 hours and returns to its starting point upstream in 6 hours.
Find the speed of the stream
(r+c)4hrs = 12mi
((r-c)6hrs = 12mi
4r + 4c = 12
6r - 6c = 12
Solving for r by Elimination of c:
24r + 24c = 72
24r - 24c = 48
48r = 120
r = 2.5mph, speed of boat in still water (current = .5mph)
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