tecnikal wrote:my teacher taught my class to set up a kind of table but im not to sure how to. Any other methods out there?

"Other methods" pretty much boil down to "keeping track of all the information in your head", etc. The tabular set-up is meant only to simplify "bookkeeping".

To review the "table" method for "uniform rate" exercises such as you've posted, try

**this online lesson**. You'll see that the table's columns correspond to the "d", "r", and "t" in the "d = rt" equation you've learned. So, for instance, the first exercise you posted would be set up as:

+-------+----+-------+------------+

||||||||| d = r * t |

+-------+----+-------+------------+

| down | 39 | 8 + w | 39/(8 + w) |

+-------+----+-------+------------+

| up | 39 | 8 - w | 39/(8 - w) |

+-------+----+-------+------------+

| total | 78 ||||||||| 16 |

+-------+----+-------+------------+

The "w" stands for the speed of the water's current. The current pushes the boat (speeds it up) when they are going downstream, but retards the boat (slows it down) then they are coming back upstream. You'd fill in the "d" and "r" columns with the known information, and then solve "d = rt" for "t = d/r" to fill in the third column for "up" and "down". Then add the "up" and "down" times, and set equal to the "total" time.

**Solve the rational equation** for the value of "w". You should get two whole-number values; reject the negative answer (since the water doesn't run uphill!), and remember to put appropriate units (rate of speed) on your final answer.

Hope that helps!