SOLUTION: Olimpiada Ivanova,a world-record holding race-walker,is on one end of a 6 mile track. John Doe,an average walker,is on the other end of the track. The two start walking towards eac

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Question 262447: Olimpiada Ivanova,a world-record holding race-walker,is on one end of a 6 mile track. John Doe,an average walker,is on the other end of the track. The two start walking towards each other and meet in 1/2 hour. If Olimpiada's average speed exceeds John's by 6 mph,find the speed of both walkers.Use the 5-step method. Also, be sure to draw a distance diagram and fill in a table to set up the problem.
(I've done the first 3 steps.)
1st step- Use variables to represent your unknowns.
2nd step- Draw a diagram in the space below.
3rd step- Fill in a table in the space below.
4th step- Set up and solve your equation.
5th step- Check.
My work:
Variables: Let O = the speed of Olimpiada.Let J = the speed of John.
Diagram:
John Olimpiada
Start------->meet<-------start
6 miles
Table: Rate (mph)/ Time (h)/ Distance (m)
Olimpiada. O 1/2 1/2(0)
John. j 1/2 1/2j

Set-up and solve your equation: ??????
Check: ???????
I'm not even sure I'm doing the first 3 right.

Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website!
rt=d
rt+rt=d
d=6
o/2+j/2=6
o=j+6
j=3 o=9
I leave the check for you.
just plug in the 3 and the 9 and see if the equations work