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
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> 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
Log On
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?
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.
-----------------------------------------------------------
How fast does Roslyn walk on a nonmoving sidewalk?
-----------------------------------------------------------
The moving sidewalk is like a current in a river.
Roslyn's speed is her walking rate = "w"
-------------------------------------------------
current = 1.8 ft/sec
-------------------------------
With the current DATA:
distance = 105 ft ; rate = (w + 1.8) ft/sec ; time = d/r = 105(w+1.8) seconds
-----------------------------------------
Against the current DATA:
distance 51 ft ; rate = (w-1.8)ft/sec ; time = d/r = 51/(w-1.8) seconds
----------------------------------------
Equation:
time with = time against
105/(w+1.8) = 51/(w-1.8)
--------------
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)
==========================================================
Cheers,
Stan H.
(