# algebra

posted by .

The speed of a moving sidewalk at an airport is 2ft/sec. A person can walk 93ft forward on the moving sidewalk in the same time it takes to walk 12ft on a non moving sidewalk in the oppsite direction. At what rate would a person walk on a nonmoving sidewalk?

• algebra -

let man's walking speed be x ft /s

so speed with moving sidewalk = x+2 ft/s

time taken to walk 93 ft on moving sidewalk
= 93/(x+2)
times taken to walk 12 ft in opposite direction
= 12/(x-2)

93/(x+2) = 12/(x-2)
93x - 186 = 12x + 24
81x = 210
x = 210/81 ft/s = 70/27 or appr 2.59 ft/sec

check:
time to walk 93 ft at 4.59 ft/sec = 93/4.59 = 20.26 sec
time to walk 12 ft at .59 ft/sec = 20.3 sec
small error due to round-off

• algebra -

Thank you so much.

• algebra -

24/81

## Similar Questions

1. ### Physics

How do I do these? A passenger at an airport steps onto a moving sidewalk that is 100.0 m long and is moving at a speed of 1.5 m/s. The passenger then starts walking at a speed of 1.0 m/s in the same direction as the sidewalk is moving.
2. ### physics

Lance arrives early at the airport (with owers and balloons in hand) to welcome a friend. Her plane is delayed. While waiting, he notices that it takes 2 minutes 47 seconds to get down the hall on the moving sidewalk. While walking …
3. ### physics

a moving sidewalk in an airport terminal building moves 1.00 m/s and is 150.0 m long.If man steps on at one end and walks 2.0 m/s relative to the moving sidewalk, how much time does he require to reach the opposite end if he walks …
4. ### physics

The speed of a moving sidewalk at an airport is 2ft/sec. A person can walk 93ft forward on the moving sidewalk in the same time it takes to walk 12ft on a non moving sidewalk in the oppsite direction. At what rate would a person walk …
5. ### math-algebra

The speed of a moving sidewalk at an airport is 2ft/sec. A person can walk 93ft forward on the moving sidewalk in the same time it takes to walk 12ft on a non moving sidewalk in the oppsite direction. At what rate would a person walk …
6. ### math

a person on a moving sidewalk travels 21 feet in 7 seconds the moving sidewalk has the length of 108 feet how long will it take to move from one end of the sidewalk to the other
7. ### Math

At the​ airport, Person A and Person B are walking at the same speed to catch their​ flight, but Person B decides to step onto the moving​ sidewalk, while Person A continues to walk on the stationary sidewalk. If …