SOLUTION: The speed of a moving sidewalk at an airport is 3 ft/sec. A person can walk 54 ft forward on the moving sidewalk in the same time it takes to walk 11 ft on a nonmoving sidewalk in
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Question 566529: The speed of a moving sidewalk at an airport is 3 ft/sec. A person can walk 54 ft forward on the moving sidewalk in the same time it takes to walk 11 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!
Does not make sense like it's written, perhaps it should read
"The speed of a moving sidewalk at an airport is 3 ft/sec.
A person can walk 54 ft forward on the moving sidewalk in the same time it takes to walk 11 ft on the moving sidewalk in the opposite direction.
At what rate would a person walk on a nonmoving sidewalk?"
:
Let w = walking speed on a normal sidewalk
then
w+3 = speed walking with the moving sidewalk
and
w-3 = speed walking against the moving sidewalk
:
Write a time equation, time = dist/speed
=
cross multiply
54(w-3) = 11(w+3)
54w = 162 = 11w + 33
54w - 11w = 33 + 162
43w = 195
w = 195/43
w = 4.535 ft/sec on a normal sidewalk
;
:
see if that check out, see if the times are equal
54/7.535 = 7.17 sec
11/1.535 = 7.17 sec
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