SOLUTION: A boat travels 42 miles up the river in the same amount of time it takes to travel 58 miles down the same river. If the current is 4 miles per hour, what is the speed of the boat i
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Question 923491: A boat travels 42 miles up the river in the same amount of time it takes to travel 58 miles down the same river. If the current is 4 miles per hour, what is the speed of the boat in still water?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
up:
s = d/t
b - c = d/t
b - c = 42/t
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down:
s = d/t
b + c = d/t
b + c = 58/t
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c = 4
---
b - 4 = 42/t
b + 4 = 58/t
---
b = 42/t + 4
b = 58/t - 4
---
42/t + 4 = 58/t - 4
8 = 58/t - 42/t
8 = (58 - 42)/t
8 = 16/t
t = 16/8
t = 2 hours
---
b + 4 = 58/2
b = 58/2 - 4
b = 29 - 4
---
answer:
b = 25 mph
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