SOLUTION: Scott�s boat has a top speed of 6 miles per hour in still water. While traveling on a river at top speed, he went 10 miles upstream in the same amount of time he went 30 miles down

Question 924356: Scott�s boat has a top speed of 6 miles per hour in still water. While traveling on a river at top speed, he went 10 miles upstream in the same amount of time he went 30 miles downstream. Find the rate of the river current.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = boat speed = 6 mph
y = current speed
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s = d/t
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up:
x - y = 10/t
---
down:
x + y = 30/t
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x - y = 10/t
y = x - 10/t
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x + y = 30/t
y = 30/t - x
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y = x - 10/t
y = 30/t - x
x - 10/t = 30/t - x
2x = 40/t
x = 20/t
6 = 20/t
t = 20/6
t = 10/3
---
answer:
y = x - 10/t
y = 6 - 10/(10/3)
y = 6 - 3
y = current speed = 3 mph
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