SOLUTION: a moving sidewalk at an airport glides at a rate of 1.2 feet per second. Walking on the moving sidewalk, you travel 120 feet forward in the same time it takes to travel 24 feet in

Question 467509: a moving sidewalk at an airport glides at a rate of 1.2 feet per second. Walking on the moving sidewalk, you travel 120 feet forward in the same time it takes to travel 24 feet in the opposite direction. What is your walking speed on the nonmoving sidewalk?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
walking speed x ft/s
sidewalk speed 1.2 ft/s
..
against sidewalk x - 1.2 ft/s
with sidewalk x + 1.2 ft/s

Distance against sidewalk 24
Distance with sidewalk 120
Time = same
24 /(x- 1.2 )= 120 /(x+ 1.2 )
24 *(x+ 1.2 )= 120 *(x- 1.2 )
24 x + 28.8 = 120 x -144
120 x -24 x = 144 + 28.8
96 x = 172.8
/ 96
x= 1.8 ft/s

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