SOLUTION: the speed of a moving walkway is about 3.5 seconds. Waling on the moving walkway it takes juan a total of 20 seconds to travel 35 feet with the movement of the walkway and then bac

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Question 971146: the speed of a moving walkway is about 3.5 seconds. Waling on the moving walkway it takes juan a total of 20 seconds to travel 35 feet with the movement of the walkway and then back again against the movement of the walkway. What is juans normal walking speed?
Answer by josgarithmetic(39628) (Show Source):
You can put this solution on YOUR website!
This is just like with & against the wind, or with & against a river current.

"the speed of a moving walkway is about... ", WHAT?
r, Juan's walk speed
w, speed for the walkway

The speeds are as FEET per SECOND
Distance in FEET, time in SECONDS
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Uniform Rates for Travel is symbolically RT=D rate time distance

__________________speed___________time____________distance
WITH______________r+w_____________(____)___________35
AGNST_____________r-w____________(_____)___________35
Totals____________________________20

__________________speed___________time____________distance
WITH______________r+w_____________35/(r+w)___________35
AGNST_____________r-w____________35/(r-w)___________35
Totals____________________________20

Formulate from the tabulated data this equation:

You need some clarity about the "walkway is about 3.5 seconds" part of the description. Having
that cleared up should make it possible to have an equation in jus the variable, r.
Did you have given, the walkway moves at 3.5 FEET per second? 3.5 seconds to go a foot?