SOLUTION: The speed of a moving sidewalk at an airport is 4ft/sec. A person can walk 68 ft forward on the moving sidewalk in the same time it takes to walk 8 ft on a nonmoving sidewalk in th
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Question 414898: The speed of a moving sidewalk at an airport is 4ft/sec. A person can walk 68 ft forward on the moving sidewalk in the same time it takes to walk 8 ft on a nonmoving sidewalk in the opposite direction. At what rate would a person walk on a nonmoving sidewalk?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The speed of a moving sidewalk at an airport is 4ft/sec.
A person can walk 68 ft forward on the moving sidewalk in the same time it takes
to walk 8 ft on a moving sidewalk in the opposite direction.
At what rate would a person walk on a non-moving sidewalk?
:
Let w = walking speed on an ordinary sidewalk
:
Write a time equation: Time = dist/speed
:
=
Cross multiply
68(w - 4) = 8(w + 4)
68w - 272 = 8w + 32
68w - 8w = 32 + 272
60w = 304
w =
w ~ 5.07 ft/sec on an ordinary sidewalk
:
:
Check this by finding the actual times
68/9.07 ~ 7.5 min
8/1.07 ~ 7.5 min
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