SOLUTION: The Gare Montparnasse train station in Paris has a high-speed version of a moving walkway. If he walks while riding this moving walkway, Jean Claude can travel 200 meters in 30 sec

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Question 1207747: The Gare Montparnasse train station in Paris has a high-speed version of a moving walkway. If he walks while riding this moving walkway, Jean Claude can travel 200 meters in 30 seconds less time than if he stands still on the moving walkway. If Jean Claude walks at a normal rate of 1.5 meters per second, what is the speed of the Gare Montparnasse walkway?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Known and understood law: SPEED%2ATIME=DISTANCE.
Use this to fill in a data table if that helps, as I did.

Notice from the basic rule, TIME=DISTANCE%2FSPEED. 
                   (meters per sec)   ( sec)           (meters)
                    SPEED              TIME            DISTANCE

walking with       r+1.5              200/(r+1.5)       200

not walking        r                  200/r             200

DIFFERENCE                            30


highlight_green%28200%2Fr-200%2F%28r%2B1.5%29=30%29
Solve for r.

The equation then comes from the information in the table. Matching the description.