SOLUTION: The moving sidewalk moves 1.8ft/sec. Walking on the moving sidewalk, Roslyn travels 105ft forward in the same time it takes to travel 51ft in the opposite direction. How fas does R

Question 232633: The moving sidewalk moves 1.8ft/sec. Walking on the moving sidewalk, Roslyn travels 105ft forward in the same time it takes to travel 51ft in the opposite direction. How fas does Roslyn walk on a nonmoving sidewalk?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The moving sidewalk moves 1.8ft/sec.
Walking on the moving sidewalk, Roslyn travels 105ft forward in the same time it takes to travel 51ft in the opposite direction.
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How fast does Roslyn walk on a nonmoving sidewalk?
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The moving sidewalk is like a current in a river.
Roslyn's speed is her walking rate = "w"
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current = 1.8 ft/sec
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With the current DATA:
distance = 105 ft ; rate = (w + 1.8) ft/sec ; time = d/r = 105(w+1.8) seconds
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Against the current DATA:
distance 51 ft ; rate = (w-1.8)ft/sec ; time = d/r = 51/(w-1.8) seconds
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Equation:
time with = time against
105/(w+1.8) = 51/(w-1.8)
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Cross-multiply to solve.
105(w-1.8) = 51(w+1.8)
105w - 189 = 51w + 91.8
54w = 280.8
w = 5.2 ft/sec (Roslynn's speed on a nonmoving sidewalk)
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Cheers,
Stan H.

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