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# Math Question?

A boat traveling with the current, can go 30 miles in 2 hr. The return journey upstream takes 1 hr longer. Find the speed of the boat in still water and find the speed of the current.

### 4 Answers

- falzoonLv 71 decade agoFavorite Answer
Let b = speed of boat in still water,

and c = speed of current.

On the downstream journey, the boat's total speed is b + c.

On the upstream journey, the boat's total speed is b - c.

Using the formula, Distance = Speed * Time,

the downstream formula is : 30 = (b + c) * 2,

while the upstream formula is : 30 = (b - c) * 3

From the 1st formula, we get : b + c = 30 / 2 = 15 mph

From the 2nd formula, we get : b - c = 30 / 3 = 10 mph

Adding the equations gives : 2b = 25, so b = 12.5 mph.

Subtracting the 2nd from the 1st gives : 2c = 5, so c = 2.5 mph.

- Anonymous1 decade ago
20

- Anonymous1 decade ago
well you know i dont know maths soo .blahh.. =]