The speed of a moving sidewalk at an airport is 7 ​ft/sec. A person can walk 74 ft forward on the moving sidewalk in the same time it takes to walk 15 ft on a non moving sidewalk in the opposite direction. At what rate would a person walk on a non moving​ sidewalk

Respuesta :

Answer:

10.56 ft/s.

Explanation:

given,

Speed of side walk = 7 ft/s

time taken to travel 74 ft on the moving sidewalk = time taken to walk 15 ft on non moving side walk.

We know,

[tex]time = \dfrac{distance}{speed}[/tex]

[tex]\dfrac{74}{w+7}=\dfrac{15}{w-7}[/tex]

[tex]59 w = 7\times 74 + 15\times 7[/tex]

[tex] 59 w = 623[/tex]

[tex]w = 10.56\ ft/s[/tex]

Rate at which person walk on non moving side walk is equal to 10.56 ft/s.