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Maurinko [17]
3 years ago
13

The speed of a stream is 2 mph. A boat travels 20 miles upstream in the same time it takes to travel 40 miles downstream. What i

s the speed of the boat in still water?
The speed of the boat in still water is mph.
(Simplify your answer. Type an integer or a decimal.)

Mathematics
1 answer:
nataly862011 [7]3 years ago
5 0

Answer:

<em>The speed of a boat in still water is 6 miles per hour. </em>

Step-by-step explanation:

t = \frac{20}{s-2}  (upstream)

t = \frac{40}{s+2}  (downstream)

\frac{20}{s-2} = \frac{40}{s+2}

40 ( s - 2 ) = 20 ( s + 2 )

40s - 80 = 20s + 40

20s = 120

s = 6 mi / h

<em>The speed of a boat in still water is 6 miles per hour.</em>

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