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Let boat speed = X and current speed = Y

Downstream speed = boat speed plus current speed = X + Y

Upstream speed = boat speed minus current speed = X -Y

Downstream speed = 2 miles divided by 3 minutes = 2/3 miles per minute

Upstream speed = 2 miles divided by 15 minutes = 2/15 miles per minute

X + Y = 2/3

X - Y = 2/15

add equations

2X = 2/3 + 2/15 = 10/15 + 2/15 = 12/15 = 4/5

divide by 2

X = 4/10 = 2/5

use second equation and find Y as

X -Y = 2/15

2/5 - Y = 2/15

6/15 - Y = 2/15

Y = 4/15 = current speed = 0.266 miles per minute

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Q: A motor boat can go 2 miles downstream on a river in 3 minutes it takes 15 minutes for the boat to go upstream the same 2 miles find the speed of the current?
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