SOLUTION: Elena went on a 6-mile walk. She completed the first half of the walk 1 mi/h faster than usual and the second half of the walk 2 mi/h slower than the first half. a. If it took her

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Question 1080950: Elena went on a 6-mile walk. She completed the first half of the walk 1 mi/h faster than usual and the second half of the walk 2 mi/h slower than the first half.
a. If it took her 7.2 to complete the walk, what is her usual rate?
b. What is the formula necessary to solve this problem?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
r, the usual walking rate

               RATE           TIME        DISTANCE

FIRST          r+1                          3

SECOND         r+1-2                        3

TOTAL                          7.2          6



Simplify any expressions in the table and fill the rest of the spots.


               RATE           TIME        DISTANCE

FIRST          r+1            3/(r+1)       3

SECOND         r-1            3/(r-1)       3

TOTAL                          7.2          6


Equation with the variable to be solved:
3%2F%28r%2B1%29%2B3%2F%28r-1%29=7.2