SOLUTION: Item 9 Question 1 You travel 3 miles downstream in a kayak at a speed of r miles per hour. You turn around and travel 4 miles upstream at a speed of 0.5r miles per hour. Final

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Item 9 Question 1 You travel 3 miles downstream in a kayak at a speed of r miles per hour. You turn around and travel 4 miles upstream at a speed of 0.5r miles per hour. Final      Log On

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Question 1153214: Item 9
Question 1
You travel 3 miles downstream in a kayak at a speed of r
miles per hour. You turn around and travel 4 miles upstream at a speed of 0.5r
miles per hour. Finally, you turn around and return to your original starting point at a speed of r+1
miles per hour.
Write a model in simplified form for the total time t
(in hours) of the trip.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
              SPEED          TIME          DISTANCE

GO               r           3/r              3

BACK           0.5r          4/(0.5r)         4

GO AGAIN       r+1           1/(r+1)          1

Total time in hours:
3%2Fr%2B8%2Fr%2B1%2F%28r%2B1%29, which still could use simplification.






----
11%2Fr%2B1%2F%28r%2B1%29
%2811%28r%2B1%29%2Br%29%2F%28r%5E2%2Br%29
%2812r%2B11%29%2F%28r%5E2%2Br%29