SOLUTION: The speed of a moving sidewalk at an airport is 9 ​ft/sec. A person can walk 31 ft forward on the moving sidewalk in the same time it takes to walk 7 ft on a nonmoving sidewa

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Question 1028944: The speed of a moving sidewalk at an airport is 9 ​ft/sec. A person can walk 31 ft forward on the moving sidewalk in the same time it takes to walk 7 ft on a nonmoving sidewalk in the opposite direction. At what rate would a person walk on a nonmoving sidewalk?
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
                         RATE        TIME        DISTANCE

FORWARD ON MOVER          r+9          t          9

WALK JUST ON SIDEWALK     r            t          7


RT=D
T=D%2FR

The two times are equal.

9%2F%28r%2B9%29=7%2Fr------solve for r.