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

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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)   (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

and

we get


adding down, we get

and then

Now,

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