SOLUTION: Moving walkways are common in airports. Drenell conducts an experiment in which he walks with a 126-foot walkway and then against the walkway. It takes Drenell 18 seconds to walk t

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Question 1026187: Moving walkways are common in airports. Drenell conducts an experiment in which he walks with a 126-foot walkway and then against the walkway. It takes Drenell 18 seconds to walk the 126-foot walkway going with the walkway and it takes him 63 seconds to walk the walkway going against the walkway. What is Drenell's normal walking speed?
Please help me with equation! Thanks

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Moving walkways are common in airports. Drenell conducts an experiment in which he walks with a 126-foot walkway and then against the walkway.
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It takes Drenell 18 seconds to walk the 126-foot walkway going with the walkway and it takes him 63 seconds to walk the walkway going against the walkway. What is Drenell's normal walking speed?
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With the walkway DATA:
time = 18 sec ; dist = 126 ft ; rate = 126/18 = 7 ft/sec
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Against the walkway DATA:
time = 63 sec ; dist = 126 ft ; rate = 126/63 = 2 ft/sec
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Equation:
w = his walking speed ; s = speed of the walkalator
w + s = 7 ft/sec
w - s = 2 ft/sec
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Add and solve for "w"::
2w = 9
walking speed = 4.5 ft/sec
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Solve for "s"::
w+s = 7 ft sec
4.5 + s = 7
s = 2.5 ft/sec (speed of the walkalator
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Cheers,
Stan H.
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