SOLUTION: Ina Crespo rowed 7.5 miles down the Habashabee River in 1.5 hrs, but the return trip took her 2.5 hrs. Find the rate Ina rows in still water and the rate of the current

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Ina Crespo rowed 7.5 miles down the Habashabee River in 1.5 hrs, but the return trip took her 2.5 hrs. Find the rate Ina rows in still water and the rate of the current      Log On


   

Question 267202: Ina Crespo rowed 7.5 miles down the Habashabee River in 1.5 hrs, but the return trip took her 2.5 hrs. Find the rate Ina rows in still water and the rate of the current
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
This is an RTD problem. Here is a table based on the given information
rowing . . . . . . . rate . . . . . . . . . time . . . . . . . . . . distance
upriver. . . . . . . .r -c. . . . . . . . . . 2.5. . . . . . . . . . . . 7.5
downriver. . . . . .r + c. . . . . . . . . .1.5 . . . . . . . . . . . 7.5
total. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
rate x time = distance. The distance are equal, so the rate x time parts are also equal. We get
2.5%28r-c%29+=+7.5
and
1.5%28r%2Bc%29+=+7.5
we get
r-c+=+3
r%2Bc+=+5
adding down, we get
2r+=+8
and then
r+=+4
Now,
c+=+1